Sufficient conditions for the boundedness and square integrability of solutions of fourth-order differential equations
Título del documento: Sufficient conditions for the boundedness and square integrability of solutions of fourth-order differential equations
Revista: Proyecciones (Antofagasta)
Base de datos: PERIÓDICA
Número de sistema: 000405932
ISSN: 0716-0917
Autores: 1
1
Instituciones: 1Universite d'Oran 1 Ahmed Ben Bella, Departement de Mathematiques, Oran. Argelia
Año:
Periodo: Mar
Volumen: 35
Número: 1
Paginación: 41-61
País: Chile
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Analítico
Resumen en inglés Sufficient conditions for the boundedness and square integrability of solutions and their derivatives of certain fourth order nonlinear differential equation are given by means of the Lyapunov’s second method. Our results obtained in this work, generalize existing results on fourth order nonlinear differential equations in the literature. For illustration, an example is also given
Disciplinas: Matemáticas
Palabras clave: Matemáticas puras,
Ecuaciones diferenciales,
Análisis matemático,
Ecuaciones diferenciales ordinarias,
Acotamiento,
Función de Lyapunov,
Ecuaciones no lineales,
Estabilidad,
Funciones de cuadrado integrable
Keyword: Mathematics,
Pure mathematics,
Differential equations,
Mathematical analysis,
Ordinary differential equations,
Boundedness,
Lyapunov function,
Nonlinear equations,
Stability,
Square-integrable functions
Texto completo: Texto completo (Ver PDF)