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Author = O’Regan, Donal;
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Displaying Results 1  25 of 86 on page 1 of 4
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A generalized quasilinearization method for secondorder nonlinear differential equations with nonlinear boundary conditions
(2018)
ElGebeily, Mohamed; O’Regan, Donal
A generalized quasilinearization method for secondorder nonlinear differential equations with nonlinear boundary conditions
(2018)
ElGebeily, Mohamed; O’Regan, Donal
http://hdl.handle.net/10379/9106
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A local minimum theorem and critical nonlinearities
(2018)
Bonanno, Gabriele; D’Aguì, Giuseppina; O’Regan, Donal
A local minimum theorem and critical nonlinearities
(2018)
Bonanno, Gabriele; D’Aguì, Giuseppina; O’Regan, Donal
Abstract:
In this paper the existence of two positive solutions for a Dirichlet problem having a critical growth, and depending on a real parameter, is established. The approach is based on methods which are totally variational, unlike the fundamental result of Ambrosetti, Brezis and Cerami where a clever combination of topological and variational methods is used in order to obtain the same conclusion. In addition, a numerical estimate of real parameters, for which the two solutions are obtained, is provided. Our main tool is a local minimum theorem.
http://hdl.handle.net/10379/10473
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A matched space for time scales and applications to the study on functions
(2018)
Wang, Chao; Agarwal, Ravi P; O’Regan, Donal
A matched space for time scales and applications to the study on functions
(2018)
Wang, Chao; Agarwal, Ravi P; O’Regan, Donal
Abstract:
In this paper, using the algebraic structure of the Abelian group, we introduce the concept of a matched space for time scales, and we construct the algebraic structure of matched spaces to solve the closedness of time scales under nontranslational shifts. Using a matched space for time scales, a new concept of periodic time scales is introduced. Based on it, new concepts of periodic functions, almost periodic functions and almost automorphic functions whose concepts were defined on translations of their arguments are proposed through nontranslational shifts. The results in this paper provide new methods to consider periodic solution, almost periodic solution and almost automorphic solutions for qdifference equations and others on irregular time scales via the background of the algebraic structure.
http://hdl.handle.net/10379/14361
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A monotone iterative technique for stationary and time dependent problems in banach spaces
(2018)
ElGebeily, M.A.; O’Regan, Donal; Nieto, J.J.
A monotone iterative technique for stationary and time dependent problems in banach spaces
(2018)
ElGebeily, M.A.; O’Regan, Donal; Nieto, J.J.
http://hdl.handle.net/10379/11346
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A note on the degree for maximal monotone mappings in finite dimensional spaces
(2018)
Chen, Yuqing; O’Regan, Donal; Wang, Fulong; Agarwal, Ravi P.
A note on the degree for maximal monotone mappings in finite dimensional spaces
(2018)
Chen, Yuqing; O’Regan, Donal; Wang, Fulong; Agarwal, Ravi P.
http://hdl.handle.net/10379/10758
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A note on the topological transversality theorem for acyclic maps
(2018)
Agarwal, Ravi P.; O’Regan, Donal
A note on the topological transversality theorem for acyclic maps
(2018)
Agarwal, Ravi P.; O’Regan, Donal
http://hdl.handle.net/10379/8797
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A schauder fixed point theorem in semilinear spaces and applications
(2018)
Agarwal, Ravi P; Arshad, Sadia; O’Regan, Donal; Lupulescu, Vasile
A schauder fixed point theorem in semilinear spaces and applications
(2018)
Agarwal, Ravi P; Arshad, Sadia; O’Regan, Donal; Lupulescu, Vasile
Abstract:
In this paper we present existence and uniqueness results for a class of fuzzy fractional integral equations. To prove the existence result, we give a variant of the Schauder fixed point theorem in semilinear Banach spaces.
http://hdl.handle.net/10379/10141
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A selection of oscillation criteria for secondorder differential inclusions
(2018)
Grace, Said R.; Agarwal, Ravi P.; O’Regan, Donal
A selection of oscillation criteria for secondorder differential inclusions
(2018)
Grace, Said R.; Agarwal, Ravi P.; O’Regan, Donal
http://hdl.handle.net/10379/11706
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An inequality concerning the growth bound of a discrete evolution family on a complex banach space
(2018)
Buşe, Constantin; O’Regan, Donal; Saierli, Olivia
An inequality concerning the growth bound of a discrete evolution family on a complex banach space
(2018)
Buşe, Constantin; O’Regan, Donal; Saierli, Olivia
Abstract:
We prove that the uniform growth bound omega(0)(U) of a discrete evolution family U of bounded linear operators acting on a complex Banach space X satisfies the inequality omega(0)(U)c(U)(X) &lt;= 1; here c(U)(X) is the operator norm of a convolution operator which acts on a certain Banach space X of Xvalued sequences.
http://hdl.handle.net/10379/10623
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An intersection theorem for setvalued mappings
(2018)
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
An intersection theorem for setvalued mappings
(2018)
Agarwal, Ravi P.; Balaj, Mircea; O’Regan, Donal
Abstract:
Given a nonempty convex set X in a locally convex Hausdorff topological vector space, a nonempty set Y and two setvalued mappings T: X a double dagger parts per thousand X, S: Y a double dagger parts per thousand X we prove that under suitable conditions one can find an x a X which is simultaneously a fixed point for T and a common point for the family of values of S. Applying our intersection theorem, we establish a common fixed point theorem, a saddle point theorem, as well as existence results for the solutions of some equilibrium and complementarity problems.
http://hdl.handle.net/10379/10143
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Antiperiodic solutions for evolution equations associated with maximal monotone mappings
(2018)
Chen, Yuqing; Nieto, Juan J.; O’Regan, Donal
Antiperiodic solutions for evolution equations associated with maximal monotone mappings
(2018)
Chen, Yuqing; Nieto, Juan J.; O’Regan, Donal
http://hdl.handle.net/10379/10756
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Antiperiodic solutions for evolution equations associated with monotone type mappings
(2018)
Chen, Yuqing; O’Regan, Donal; Agarwal, Ravi P.
Antiperiodic solutions for evolution equations associated with monotone type mappings
(2018)
Chen, Yuqing; O’Regan, Donal; Agarwal, Ravi P.
http://hdl.handle.net/10379/10757
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Bounds for analytic solutions to integral equations in the complex domain
(2018)
Agarwal, Ravi P.; O’Regan, Donal; Pinelas, Sandra
Bounds for analytic solutions to integral equations in the complex domain
(2018)
Agarwal, Ravi P.; O’Regan, Donal; Pinelas, Sandra
http://hdl.handle.net/10379/10151
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Characterization of selfadjoint ordinary differential operators
(2018)
ElGebeily, M.A.; O’Regan, Donal; Agarwal, Ravi
Characterization of selfadjoint ordinary differential operators
(2018)
ElGebeily, M.A.; O’Regan, Donal; Agarwal, Ravi
http://hdl.handle.net/10379/11345
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Compactness criteria and new impulsive functional dynamic equations on time scales
(2018)
Wang, Chao; Agarwal, Ravi P; O’Regan, Donal
Compactness criteria and new impulsive functional dynamic equations on time scales
(2018)
Wang, Chao; Agarwal, Ravi P; O’Regan, Donal
Abstract:
In this paper, we introduce the concept of Deltasubderivative on time scales to define eequivalent impulsive functional dynamic equations on almost periodic time scales. To obtain the existence of solutions for this type of dynamic equation, we establish some new theorems to characterize the compact sets in regulated function space on noncompact intervals of time scales. Also, by introducing and studying a square bracket function [x(center dot), y(center dot)] : T &gt; R on time scales, we establish some new sufficient conditions for the existence of almost periodic solutions for eequivalent impulsive functional dynamic equations on almost periodic time scales. The final section presents our conclusion and further discussion of this topic.
http://hdl.handle.net/10379/14360
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Constantsign solutions for systems of singular integral equations of hammerstein type
(2018)
Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J.Y.
Constantsign solutions for systems of singular integral equations of hammerstein type
(2018)
Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J.Y.
http://hdl.handle.net/10379/10163
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Constantsign solutions of systems of higher order boundary value problems with integrable singularities
(2018)
Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J.Y.
Constantsign solutions of systems of higher order boundary value problems with integrable singularities
(2018)
Agarwal, Ravi P.; O’Regan, Donal; Wong, Patricia J.Y.
http://hdl.handle.net/10379/8809
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Dead cores of singular dirichlet boundary value problems with ϕlaplacian
(2018)
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav
Dead cores of singular dirichlet boundary value problems with ϕlaplacian
(2018)
Agarwal, Ravi P.; O’Regan, Donal; Staněk, Svatoslav
Abstract:
The paper discusses the existence of positive solutions, dead core solutions and pseudodead core solutions of the singular Dirichlet problem (phi(u'))' = lambda f(t, u, u'), u(0) = u(T) = A. Here lambda is the positive parameter, A &gt; 0, f is singular at the value 0 of its first phase variable and may be singular at the value A of its first and at the value 0 of its second phase variable.
http://hdl.handle.net/10379/10154
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Degree theory for monotone type mappings in nonreflexive banach spaces
(2018)
Wang, Fulong; Chen, Yuqing; O’Regan, Donal
Degree theory for monotone type mappings in nonreflexive banach spaces
(2018)
Wang, Fulong; Chen, Yuqing; O’Regan, Donal
http://hdl.handle.net/10379/14364
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Dynamics of the stochastic chemostat with monodhaldane response function
(2018)
Wang, Liang; Jiang, Daqing; Wolkowicz, Gail S. K.; O’Regan, Donal
Dynamics of the stochastic chemostat with monodhaldane response function
(2018)
Wang, Liang; Jiang, Daqing; Wolkowicz, Gail S. K.; O’Regan, Donal
Abstract:
The stochastic chemostat model with MonodHaldane response function is perturbed by environmental white noise. This model has a global positive solution. We demonstrate that there is a stationary distribution of the stochastic model and the system is ergodic under appropriate conditions, on the basis of Khasminskii's theory on ergodicity. Sufficient criteria for extinction of the microbial population in the stochastic system are established. These conditions depend strongly on the Brownian motion. We find that even small scale white noise can promote the survival of microorganism populations, while large scale noise can lead to extinction. Numerical simulations are carried out to illustrate our theoretical results.
http://hdl.handle.net/10379/14369
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Existence of solutions for abstract neutral integrodifferential equations with unbounded delay
(2018)
Hernández, Eduardo M.; O’Regan, Donal
Existence of solutions for abstract neutral integrodifferential equations with unbounded delay
(2018)
Hernández, Eduardo M.; O’Regan, Donal
Abstract:
In this paper we study the existence of classical solutions for a class of abstract neutral integrodifferential equation with unbounded delay. A concrete application to partial neutral integrodifferential equations is considered.
http://hdl.handle.net/10379/11915
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Existence of three solutions for a doubly eigenvalue fourthorder boundary value problem
(2018)
Afrouz, G. A.; Heidarkhani, S.; O’Regan, Donal
Existence of three solutions for a doubly eigenvalue fourthorder boundary value problem
(2018)
Afrouz, G. A.; Heidarkhani, S.; O’Regan, Donal
Abstract:
In this paper we consider the existence of at least three solutions for the Dirichlet problem u(iv) + alpha u '' + beta u  lambda f(x, u) + mu g(x, u), x is an element of (0, 1) u(0) = u(1) = 0, u ''(0) = u ''(1) = 0 where alpha, beta are real constants, f, g : [0, 1] x R &gt; R are L(2)Caratheodory functions and lambda, mu &gt; 0. The approach is based on variational methods and critical points.
http://hdl.handle.net/10379/10126
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Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators
(2018)
Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan
Existence results for abstract fractional differential equations with nonlocal conditions via resolvent operators
(2018)
Hernández, Eduardo; O’Regan, Donal; Balachandran, Krishnan
http://hdl.handle.net/10379/11914
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Existence results for abstract neutral functional differential equations
(2018)
Hernández, Eduardo; O’Regan, Donal
Existence results for abstract neutral functional differential equations
(2018)
Hernández, Eduardo; O’Regan, Donal
Abstract:
In this paper we discuss the existence of solutions for a class of abstract partial neutral functional differential equations.
http://hdl.handle.net/10379/11910
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Existence theorems for the onedimensional singular plaplacian equation with a nonlinear boundary condition
(2018)
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P.
Existence theorems for the onedimensional singular plaplacian equation with a nonlinear boundary condition
(2018)
Lü, Haishen; O’Regan, Donal; Agarwal, Ravi P.
http://hdl.handle.net/10379/9453
Displaying Results 1  25 of 86 on page 1 of 4
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