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On Nirenberg-type conditions for higher-order systems on time scales |
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| Authors: | Pablo Amster, Pablo De N poli,Juan Pablo Pinasco |
| Affiliation: | aDepartamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, (1428) Buenos Aires, Argentina bConsejo Nacional de Investigaciones Científicas y Técnicas (CONICET), Argentina cUniversidad Nacional de General Sarmiento, J.M. Gutierrez 1150, Los Polvorines, Prov. Buenos Aires, Argentina |
| Abstract: | We study the existence of periodic solutions for a nonlinear system of nth-order differential equations on time scales. Assuming a suitable Nirenberg-type condition, we prove the existence of at least one solution of the problem using Mawhin’s coincidence degree. |
| Keywords: | Time scales Boundary value problems Resonance Nirenberg condition Coincidence degree |
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