Non-degenerate Implicit Evolution Inclusions

Date

2000-05-12

Authors

Kuttler, Kenneth

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

We prove the existence of solutions for the implicit evolution inclusion (B(t)u(t))' + A(t,u(t)) ∋ ƒ(t) under conditions that are easy to verify on the set valued operator A(t, ‧) and that do not imply the operator is monotone. We also present an example where our existence theorem applies to a time dependent implicit inclusion.

Description

Keywords

Nonlinear evolution inclusion, Pseudo-monotone mapping, Implicit inclusions

Citation

Kuttler, K. (2000). Non-degenerate implicit evolution inclusions. <i>Electronic Journal of Differential Equations, 2000</i>(34), pp. 1-20.

Rights

Attribution 4.0 International

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