Warianty tytułu
Języki publikacji
Abstrakty
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
Twórcy
autor
- University of Silesia in Katowice, Poland
Bibliografia
- Agarwal R.P., Grace S.R., O'Regan D., Existence of positive solutions of semipositone Fredholm integral equations, Funkcial. Ekvac. 45 (2002), 223-235.
- Agarwal R.P., O'Regan D., Wang P.J.Y., Positive Solutions of Differential, Difference and Integral Equations, Kluwer Academic Publishers, Dordrecht, 1999.
- Agarwal R.P., O'Regan D., Infinite Interval Problems for Differential, Difference and Integral Equations, Kluwer Academic Publishers, Dordrecht, 2001.
- Cabada A., The method of lower and upper solutions for second, third, fourth and higher order boundary value problems, J. Math. Anal. Appl. 185 (1994), 302-320.
- Deimling K., Nonlinear Functional Analysis, Springer, New York, 1985.
- Guo D., Laksmikannthan V., Nonlinear Problems in Abstract Cones, Academic Press, San Diego, 1988.
- Lasota A., Opial Z., Sur les solutions periodiques des equations differentielles ordi- naires, Ann. Polon. Math. 16 (1964), 69-94.
- Rektorys K., Variational Methods in Mathematics, Science and Engineering, D. Reidel Publishing Co., Dordrecht, 1980.
- Śeda V., Nieto J.J., Gera M., Periodic boundary value problems for nonlinear higher order ordinary differential equations, Appl. Math. Comput. 48 (1992), 71-82.
- Torres P.J., Existence of one-signed periodic solution of some second-order differential equations viaa Krasnosielskiifixed point theorem, J. Differential Equations 190 (2003), 643-662.
- Zima M., Positive Operators in Banach Spaces and Their Applications, Wydawnictwo Uniwersytetu Rzeszowskiego, Rzeszów, 2005.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171621972