Sufficient conditions for the boundedness and square integrability of solutions of fourth-order differential equations
Document title: Sufficient conditions for the boundedness and square integrability of solutions of fourth-order differential equations
Journal: Proyecciones (Antofagasta)
Database: PERIÓDICA
System number: 000405932
ISSN: 0716-0917
Authors: 1
1
Institutions: 1Universite d'Oran 1 Ahmed Ben Bella, Departement de Mathematiques, Oran. Argelia
Year:
Season: Mar
Volumen: 35
Number: 1
Pages: 41-61
Country: Chile
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract 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
Disciplines: Matemáticas
Keyword: 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
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