Results 31 to 40 of about 330 (99)

A unified existence theory for evolution equations and systems under nonlocal conditions [PDF]

, 2014
We investigate the effect of nonlocal conditions expressed by linear continuous mappings over the hypotheses which guarantee the existence of global mild solutions for functional-differential equations in a Banach space. A progressive transition from the
Cardinali, Tiziana, Precup, Radu, Rubbioni, Paola   +2 more
core   +1 more source

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

Method of semidiscretization in time to nonlinear retarded differential equations with nonlocal history conditions

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

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
wiley   +1 more source

A Massera‐type criterion for almost periodic solutions of higher‐order delay or advance abstract functional differential equations

Abstract and Applied Analysis, Volume 2004, Issue 10, Page 881-896, 2004., 2004
Let u be a given bounded uniformly continuous mild solution of a higher‐order abstract functional differential equation of delay or advance type. We give a so‐called Massera‐type criterion for the existence of a mild solution, which is a “spectral component” of u with spectrum similar to the one of the forcing term f.
Nguyen Van Minh, Ha Binh Minh
wiley   +1 more source

About reducing integro-differential equations with infinite limits of integration to systems of ordinary differential equations

Advances in Differential Equations, 2013
The purpose of this paper is to propose a method for studying integro-differential equations with infinite limits of integration. The main idea of this method is to reduce integro-differential equations to auxiliary systems of ordinary differential ...
Y. Goltser, A. Domoshnitsky
semanticscholar   +2 more sources

The Kneser property for abstract retarded functional differential equations with infinite delay

International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 26, Page 1645-1661, 2003., 2003
We establish existence of mild solutions for a class of semilinear first‐order abstract retarded functional differential equations (ARFDEs) with infinite delay and we prove that the set consisting of mild solutions for this problem is connected in the space of continuous functions.
Hernán R. Henríquez
wiley   +1 more source

Monotone iterative technique for non-autonomous semilinear differential equations with nonlocal condition

Demonstratio Mathematica, 2019
The objective of this article is to discuss the existence and uniqueness of mild solutions for a class of non-autonomous semilinear differential equations with nonlocal condition via monotone iterative method with upper and lower solutions in an ordered ...
Meraj Arshi, Pandey Dwijendra Narain
doaj   +1 more source