Boundedness and stability in nonlinear systems of differential equations using a modified variation of parameters formula

• Autores: Youssef N. Raffoul
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 25, Nº. 1, 2023, págs. 37-55
• Idioma: inglés
• DOI: 10.56754/0719-0646.2501.037
• Enlaces
  • Texto completo
• Resumen
  • español

    En esta investigación, introducimos un nuevo método de variación de parámetros para sistemas de ecuaciones diferenciales ordinarias lineales y no lineales. Usamos métodos y técnicas matemáticas conocidas incluyendo la desigualdad de Gronwall y teoría de punto fijo para obtener el acotamiento de todas las soluciones y resultados de estabilidad de la solución cero.

  • English

    In this research we introduce a new variation of parameters for systems of linear and nonlinear ordinary differential equations. We use known mathematical methods and techniques including Gronwall’s inequality and fixed point theory to obtain boundedness on all solutions and stability results on the zero solution.

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