Existence Theorems for Nonlinear Differential Equations with Pseudomonotone Operators in Banach Spaces

Abstract

This paper is devoted to prove the existence theorems for nonlinear differential equations with pseudomonotone operators in B spaces. Moreover, it analyses the functional-analytic properties of such solutions by using Galerkin’s method. At the end, the paper extends the proposed method also to λ0-prseudomonotone operators.