Nagumo and Landesman-Lazer type conditions for nonlinear second order systems |
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| Authors: | Pablo Amster |
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| Institution: | (1) FCEyN - Departamento de Matemática, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina;(2) Consejo Nacional de Investigaciones, Científicas y Técnicas (CONICET), Buenos Aires, Argentina |
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| Abstract: | We study the existence of solutions for a nonlinear second order system of ordinary differential equations under various boundary
conditions. Assuming suitable Nagumo type conditions we prove the existence of at least one solution applying the method of
upper and lower solutions. Moreover, using topological degree methods we prove the existence of solutions under Landesman-Lazer
type conditions. |
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| Keywords: | 34B15 |
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