An existence theorem for an hyperbolic differential inclusion in Banach spaces

• Autorzy: Mouffak Benchohra , Sotiris K. Ntouyas
• Języki publikacji: EN

Abstrakty

EN

In this paper, we investigate the existence of solutions on unbounded domain to a hyperbolic differential inclusion in Banach spaces. We shall rely on a fixed point theorem due to Ma which is an extension to multivalued between locally convex topological spaces of Schaefer's theorem.

Słowa kluczowe

EN

hyperbolic differential inclusion; convex multivalued map; existence; condensing map; fixed point; Fréchet space

Kategorie tematyczne

• 35L70: Nonlinear second-order hyperbolic equations
• 35R70: Partial differential equations with multivalued right-hand sides
• 35L15: Initial value problems for second-order hyperbolic equations
• 35L99: None of the above, but in this section

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2002
• Tom: 22
• Numer: 1
• Strony: 5-16

Daty

wydano

2002

otrzymano

2001-02-01

Twórcy

autor

Mouffak Benchohra

• Laboratory of Mathematics, University of Sidi Bel Abbès, BP 89, 22000 Sidi Bel Abbès, Algérie

autor

Sotiris K. Ntouyas

• Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1029