1997Proceedings of the American Mathematical SocietyOpen access

Existence of periodic solutions for nonlinear evolution equations with pseudo monotone operators

Naoki Shioji

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Abstract

In this paper, we study the existence of $T$-periodic solutions for the problem \[ u’ (t) +A(t)u(t) =0, \quad t\in \mathbb R, \] where $A(t)$ is a $T$-periodic, pseudo monotone mapping from a reflexive Banach space into its dual.

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In this paper, we study the existence of $T$-periodic solutions for the problem \[ u’ (t) +A(t)u(t) =0, \quad t\in \mathbb R, \] where $A(t)$ is a $T$-periodic, pseudo monotone mapping from a reflexive Banach space into its dual.

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Available abstract

In this paper, we study the existence of $T$-periodic solutions for the problem \[ u’ (t) +A(t)u(t) =0, \quad t\in \mathbb R, \] where $A(t)$ is a $T$-periodic, pseudo monotone mapping from a reflexive Banach space into its dual.

Key concepts: Monotone polygon, Banach space, Mathematics, Nonlinear system, Pure mathematics, Space (punctuation), Pseudo-monotone operator, Mathematical analysis

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