In this paper we study the existence of integral solutions for nonlinear differential equations with nonlocal initial conditions in Banach spaces.We derive conditions under which the integral solutions exit

In this paper we establish asymptotic (biasymptotic) equivalence between spaces of solutions of a given linear homogeneous system and a perturbed system. The perturbations are of either linear or weakly linear characters. Existence of a homeomorphism between subspaces of almost periodic and...

We consider the method of quasi-reversibility for numerical solving of boundary-value problems for differential equations. A specific feature of our approach is the well-posedness of the problems we study. We illustrate the main idea of the method with several examples of typical problems of...

We study Gevrey properties and multisummability of power series in more than two variables that are formal solutions of a Cauchy problem for linear partial differential equations with constant coefficients. We extend earlier results in an article of Werner Balser, who has considered linear...

A kind of stochastic differential equations with jumps are offered first, then the Euler scheme for these equations are present, at last their continuous dependence on initial value and convergence are be studied

In this paper we shall study the oscillation of all positive solutions of the nonlinear delay differential equationandabout their equilibrium points. Also we study the stability of these equilibrium points and prove that every non-oscillatory positive solution tends to the equilibrium point when...

We investigate functions which are solutions of the equation ″ = − 2 and related ones. Solutions which satisfy also the initial conditions (0) = 0, ′(0) = 1 and (0) = 1, ′(0) = 0 are known as lemniscatic sine and cosine functions respectively. Taking our cue from the theory of elementary...