Infinite systems of ordinary differential equations with unbounded coefficients and moment problems

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

*Correspondence: [email protected] Department of Mathematics and Computer Sciences, Ariel University of Samaria, Ariel, Israel Abstract 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 equations. Re...

Study on usage of Elzaki transform for the ordinary differential equations with non-constant ‎coefficients

Although Elzaki transform is stronger than Sumudu and Laplace transforms to solve the ordinary differential equations withnon-constant coefficients, but this method does not lead to finding the answer of some differential equations. In this paper, a method is introduced to find that a differential equation by Elzaki transform can be ‎solved?‎

Volterra integro-differential equations and infinite systems of ordinary differential equations

Stochastic Partial Differential Equations with Unbounded and Degenerate Coefficients

Abstract. In this article, using DiPerna-Lions theory [1], we investigate linear second order stochastic partial differential equations with unbounded and degenerate non-smooth coefficients, and obtain several conditions for existence and uniqueness. Moreover, we also prove the L1integrability and a general maximal principle for generalized solutions of SPDEs. As applications, we study nonlinea...

Non-Schlesinger Deformations of Ordinary Differential Equations with Rational Coefficients

We consider deformations of 2×2 and 3×3 matrix linear ODEs with rational coefficients with respect to singular points of Fuchsian type which don’t satisfy the wellknown system of Schlesinger equations (or its natural generalization). Some general statements concerning reducibility of such deformations for 2× 2 ODEs are proved. An explicit example of the general non-Schlesinger deformation of 2×...