Results 1 to 10 of about 41 (41)
Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales
Moroccan Journal of Pure and Applied Analysis, 2021 In this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem.
Bouchelaghem Faycal +2 more
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The stability of nonlinear delay integro-differential equations in the sense of Hyers-Ulam
Nonautonomous Dynamical Systems, 2023 In this study, an initial-value problem for a nonlinear Volterra functional integro-differential equation on a finite interval was considered. The nonlinear term in the equation contains multiple time delays.
Graef John R. +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (
Kailasavalli S. +3 more
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Open Mathematics, 2018 This paper is devoted to study the existence and regularity of mild solutions in some interpolation spaces for a class of functional partial differential equations with nonlocal initial conditions. The linear part is assumed to be a sectorial operator in
Zhang Xuping, Chen Qiyu, Li Yongxiang
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On an abstract nonlinear second order integrodifferential equation
Journal of Function Spaces, Volume 5, Issue 2, Page 167-174, 2007., 2007 The aim of the present paper is to study the global existence of solutions of nonlinear second order integrodifferential equation in Banach space. Our analysis is based on an application of the Leray‐Schauder alternative and rely on a priori bounds of solutions.
M. B. Dhakne, G. B. Lamb, Nigel Kalton
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1943-1956, 2004., 2004 This paper deals with the applications of the method of semidiscretization in time to a nonlinear retarded differential equation with a nonlocal history condition. We establish the existence and uniqueness of a strong solution. Finally, we consider some applications of the abstract results.
S. Agarwal, D. Bahuguna
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Periodic solutions for some partial functional differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 1, Page 9-18, 2004., 2004 We study the existence of a periodic solution for some partial functional differential equations. We assume that the linear part is nondensely defined and satisfies the Hille‐Yosida condition. In the nonhomogeneous linear case, we prove the existence of a periodic solution under the existence of a bounded solution.
Rachid Benkhalti, Khalil Ezzinbi
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Existence of solutions for delay evolution equations with nonlocal conditions
Open Mathematics, 2017 In this paper, we are devoted to study the existence of mild solutions for delay evolution equations with nonlocal conditions. By using tools involving the Kuratowski measure of noncompactness and fixed point theory, we establish some existence results ...
Zhang Xuping, Li Yongxiang
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Second‐order neutral stochastic evolution equations with heredity
International Journal of Stochastic Analysis, Volume 2004, Issue 2, Page 177-192, 2004., 2004 Existence, continuous dependence, and approximation results are established for a class of abstract second‐order neutral stochastic evolution equations with heredity in a real separable Hilbert space. A related integro‐differential equation is also mentioned, as well as an example illustrating the theory.
Mark A. McKibben
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Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 213-219, 2004., 2004 In the present work, we consider a semilinear retarded differential equation in a Banach space. We first establish the existence and uniqueness of a mild solution and then prove its regularity under different additional conditions. Finally, we consider some applications of the abstract results.
D. Bahuguna
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