Periodic solutions for quasilinear vector differential equations with maximal monotone terms

• Autorzy: Nikolaos C. Kourogenis , Nikolaos S. Papageorgiou
• Języki publikacji: EN

Abstrakty

EN

We consider a quasilinear vector differential equation with maximal monotone term and periodic boundary conditions. Approximating the maximal monotone operator with its Yosida approximation, we introduce an auxiliary problem which we solve using techniques from the theory of nonlinear monotone operators and the Leray-Schauder principle. To obtain a solution of the original problem we pass to the limit as the parameter λ > 0 of the Yosida approximation tends to zero.

Słowa kluczowe

EN

Maximal monotone operator; coercive operator; surjective operator; demiclosed graph; Yosida approximation; compact operator; Leray-Schauder principle; fixed point; demicontinuous operator

Kategorie tematyczne

• 34C25: Periodic solutions

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1997
• Tom: 17
• Numer: 1-2
• Strony: 67-81

Daty

wydano

1997

otrzymano

1997-11-25

Twórcy

autor

Nikolaos C. Kourogenis

• National Technical University, Department of Mathematics, Zografou Campus Athens 157 80, Greece

autor

Nikolaos S. Papageorgiou

• National Technical University, Department of Mathematics, Zografou Campus Athens 157 80, Greece

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