Mild solutions of non-autonomous second order problems with nonlocal initial conditions

Mild solutions of non-autonomous second order problems with nonlocal initial conditions

Article history: Received 13 March 2013 Available online 6 November 2013 Submitted by Steven G. Krantz

Existence of Mild Solutions of Second Order Initial Value Problems for Delay Integrodifferential Inclusions with Nonlocal Conditions

In this paper we investigate the existence of mild solutions to second order initial value problems for a class of delay integrodifferential inclusions with nonlocal conditions. We rely on a fixed point theorem for condensing maps due to Martelli.

Existence of mild solutions of second-order neutral functional differential inclusions with nonlocal conditions in Banach spaces

Existence of Mild Solutions for a Semilinear Integrodifferential Equation with Nonlocal Initial Conditions

and Applied Analysis 3 concrete situations. Indeed, we consider an example with a particular choice of the function b and the operator A is defined by Aw t, ξ a1 ξ ∂2 ∂ξ2 w t, ξ b1 ξ ∂ ∂ξ w t, ξ c ξ w t, ξ , 1.3 where the given coefficients a1, b1, c satisfy the usual uniform ellipticity conditions. 2. Preliminaries Most of the notations used throughout this paper are standard. So, N, Z, R, and...

Initial value problems for second order hybrid fuzzy differential equations

Usage of fuzzy differential equations (FDEs) is a natural way to model dynamical systems under possibilistic uncertainty. We consider second order hybrid fuzzy differentia