Infinitely many positive solutions for an iterative system of singular BVP on time scales

• Autores: K. Rajendra Prasad, Mahammad Khuddush, K. Vidyasagar
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 24, Nº. 1, 2022, págs. 21-35
• Idioma: inglés
• DOI: 10.4067/S0719-06462022000100021
• Enlaces
  • Texto completo
• Resumen
  • español

    RESUMEN En este artículo, consideramos un sistema iterativo de problemas de valor en la frontera singulares de dos puntos en escalas de tiempo. Aplicando la desigualdad de Hölder y el teorema de punto fijo cónico de Krasnoselskii en un espacio de Banach, derivamos condiciones suficientes para la existencia de una cantidad infinita de soluciones positivas. Finalmente, entregamos un ejemplo para verificar la validez de nuestros resultados.

  • English

    ABSTRACT In this paper, we consider an iterative system of singular twopoint boundary value problems on time scales. By applying Hölder’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of infinitely many positive solutions. Finally, we provide an example to check the validity of our obtained results.

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