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In this side, some useful techniques, say the averaging method, have been developed and many significant results have been obtained for the existence of periodic solutions to

The focus of our present work is to establish the existence of almost periodic solutions of neutral functional differential equations by using the Razumikhin-type argument.. The

Expounding upon the methods used to establish existence by Lupulescu in [4] and [5], we define a sequence of approximate solutions on a given interval and show that the

Next, we make extensive use of our abstract results to establish the existence of Stepanov (quadratic mean) almost periodic solutions to an n-dimensional system of stochastic

We establish two criteria for the existence of convex solutions to a bound- ary value problem for weakly coupled systems arising from the Monge-Amp` ere equations.. We shall use

From that Liapunov functional we are able to establish the existence of periodic solutions to the system by applying some well-known fixed point theorems for the sum of a

Abstract By means of the fixed point index theory of strict set contraction operators, we establish new existence theorems on multiple positive solutions to a boundary value problem

In this paper, we shall establish sufficient conditions for the existence of solutions for a first order boundary value problem for fractional differential equations..