Existence of Positive Periodic Solutions of Some Differential Equations of Order n (n > 2)

• Autorzy: Jan Ligęza
• Języki publikacji: EN

Abstrakty

EN

We study the existence of positive periodic solutions of the equa- tions x(n) (t) - p(t)x(t) + jif (t, x(t),x'(t),.. . , x(n-1) (t)) = 0, x(n) (t) + p(t)x(t) = /.if (t,x(t),x'(t), . . . ,X(n-1) (t)), where n > 2,^ > 0, p: (-TO, TO) (0, TO) is continuous and 1-periodic, f is a continuous function and 1-periodic in the first variable and may take values of different signs. The Krasnosielski fixed point theorem on cone is used. (original abstract)

Słowa kluczowe

EN

Mathematics; Differential equations

PL

Matematyka; Równania różniczkowe

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2009
• Tom: 23
• Strony: 61--81

Twórcy

autor

Jan Ligęza

• University of Silesia in Katowice, Poland

Bibliografia

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