Positive solutions for a class of nonresonant m-point boundary value problems

• Autorzy: Feng M. , Zhang X. , Ge W.
• Języki publikacji: EN

Abstrakty

EN

This paper concerns the existence and multiplicite of positive solutions for a class of nonresonant m-point boundary-value problem of second-order diferential equations Lx = λw(t)(t, x), 0<t<1. The interesting points are that Lx:= -x" + pqx and w is L^ρ -integrable for some 1≤ p ≤ +∞. the arguments are based upen fixed point theorems in a cone and Hoelder's inequqlity. The nonexistence of positive solution is also studied. In addistion, some examples are included to demonstrate the main results.

Słowa kluczowe

EN

positive solution; fixed point theorem; existence; complete continuity; m-point boundary; value problems

PL

rozwiązanie pozytywne; twierdzenie o punkcie stałym; twierdzenie o istnieniu

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2008
• Tom: Vol. 14, nr 1
• Strony: 115--129
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Feng M.

autor

Zhang X.

autor

Ge W.

• Beijing Information Science and technology University. Department of Mathematics, Beijing, 100192 P. R. China,

Bibliografia

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