Existence of positive solutions of BVPs for coupled impulsive differential equations on whole line with mixed boundary conditions.

• Liu, Yuji ^[1]
  1. [1] Department of Mathematics Guangdong University of Finance and Economics Guangzhou 510320
• Localización: Divulgaciones matemáticas, ISSN-e 1315-2068, Vol. 17, Nº. 1, 2016 (Ejemplar dedicado a: Divulgaciones Matemáticas), págs. 46-75
• Idioma: español
• Enlaces
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• Resumen

  • This paper is concerned with boundary value problems of impulsive differential systems on whole lines with nonlinear differential operators. By constructing a weighted Banach space and defining a nonlinear operator, using the Schauder's fixed point theorem and Schaefer's fixed point theorem, sufficient conditions to guarantee the existence of at least one positive solution are established. An example is given to illustrate the main results. ----------------------------------------------------------------------------Este artículo está interesado en problemas con valores en la frontera para sistemas diferenciales con impulso sobre la línea recta con operadores diferenciales no lineales. Construyendo un espacio de Banach ponderado y definiendo un operador no lineal, usando el teorema del punto fijo de Schauder y el teorema del punto fijo de Schaefer, se establecen condiciones suficientes para garantizar la existencia de al menos una solución positiva. Se da un ejemplo para ilustrar los principales resultados.

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