Results 41 to 50 of about 123 (69)
Impulsive functional‐differential equations with nonlocal conditions
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 251-256, 2002., 2002 The existence, uniqueness, and continuous dependence of a mild solution of an impulsive functional‐differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed point theorems, of a C0 semigroup of operators and the Banach contraction theorem are applied.
Haydar Akça +2 more
wiley +1 more source
Advances in Differential Equations, 2014 Of concern is the existence of solutions for a class of boundary value problems for impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space.
Fang Li, Huiwen Wang
semanticscholar +1 more source
International Journal of Stochastic Analysis, Volume 13, Issue 2, Page 171-179, 2000., 2000 Two theorems about the existence and uniqueness of mild and classical solutions of a semilinear functional‐differential evolution nonlocal Cauchy problem in a general Banach space are proved. Methods of semigroups and the Banach contraction theorem are applied.
Katarzyna Kolodziej
wiley +1 more source
EXISTENCE RESULTS FOR A PARTIAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATION WITH STATE-DEPENDENT DELAY
, 2010 . In this paper we study the existence of mild solutions for a class of abstractpartial neutral integro-differential equations with state-dependent delay.
J. P. C. D. Santos
semanticscholar +1 more source
International Journal of Stochastic Analysis, Volume 12, Issue 1, Page 91-97, 1999., 1998 The aim of this paper is to investigate the existence and uniqueness of a classical solution to a functional‐differential abstract nonlocal Cauchy problem in a general Banach space. For this purpose, a special kind of a mild solution is introduced and the Banach contraction theorem and a modified Picard method are applied.
Ludwik Byszewski
wiley +1 more source
Global Existence and Stability for Neutral Functional Evolution Equations with State-Dependent Delay
Nonautonomous Dynamical Systems, 2014 In this paper we prove the global existence and attractivity of mild solutions for neutral semilinear evolution equations with state-dependent delay in a Banach space.
Baliki Abdessalam, Benchohra Mouffak
doaj +1 more source
On mixed boundary value problem of impulsive semilinear evolution equations of fractional order
, 2012 This article studies the existence and uniqueness of solutions for impulsive semi-linear evolution equations of fractional order α ∈ (1, 2] with mixed boundary conditions. Some standard fixed point theorems are applied to prove the main results.
Lihong Zhang +2 more
semanticscholar +1 more source
Semilinear Volterra integrodifferential equations with nonlocal initial conditions
Abstract and Applied Analysis, Volume 4, Issue 2, Page 127-139, 1999., 1999 We establish the global existence of mild solutions to a class of nonlocal Cauchy problems associated with semilinear Volterra integrodifferential equations in a Banach space.
Sergiu Aizicovici, Mark Mckibben
wiley +1 more source
On the stability of a functional equation deriving from additive and quadratic functions
, 2012 In this article, we investigate the Hyers-Ulam stability of the following functional equation f(x+2y)+f(x-2y)=f(x+y)+f(x-y)+3f(2y)-6f(y) on quasi-β-normed spaces.2000 MR Subject Classification: 45J05; 34k30; 34K20.
Wang Liguang, Li Jing
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International Journal of Differential Equations, Volume 2024, Issue 1, 2024.This paper investigates the existence and controllability of second‐order functional differential equations with infinite delay, incorporating random operators. The existence of solutions is established using the Schauder fixed point theorem, ensuring that solutions exist under specified conditions.
Srinivasan Madhumitha +5 more
wiley +1 more source