On bounded solutions of second order systems

• Autorzy: Herzog G.
• Języki publikacji: EN

Abstrakty

EN

We prove existence and uniqueness of bounded solutions of u"+f(t, u) = 0, u(0) = x on [0,infinity) under quasimonotonicity and one-sided Lipschitz conditions on f.

Słowa kluczowe

EN

bounded solutions; second-order systems; quasimonotone increasing functions; Banach space; Lipschitz conditions

PL

rozwiązania ograniczone; systemy drugiego rzędu; funkcje monotoniczne; przestrzeń Banacha; warunek Lipschitza

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2006
• Tom: Vol. 39, nr 4
• Strony: 793--801
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Herzog G.

• Mathematisches Institut I Universitat Karlsruhe D-76128 Karlsruhe, Germany,

Bibliografia

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