On bounded nonoscillatory solutions of third-order nonlinear differential equations

• Autorzy: Ivan Mojsej , Alena Tartaľová
• Języki publikacji: EN

Abstrakty

EN

This paper is concerned with the asymptotic behavior of solutions of nonlinear differential equations of the third-order with quasiderivatives. We give the necessary and sufficient conditions guaranteeing the existence of bounded nonoscillatory solutions. Sufficient conditions are proved via a topological approach based on the Banach fixed point theorem.

Słowa kluczowe

EN

Nonlinear differential equation with quasiderivatives; Third order; Bounded nonoscillatory solution; Asymptotic behavior

Kategorie tematyczne

• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 4
• Strony: 717-724

Daty

wydano

2009-12-01

online

2009-10-31

Twórcy

autor

Ivan Mojsej

• Institute of Mathematics, Faculty of Science, P. J. Šafárik University, Košice, Slovak Republic

autor

Alena Tartaľová

• Department of Applied Mathematics and Business Informatics, Faculty of Economics, Technical University, Košice, Slovak Republic

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-009-0054-z