Conditions for the Existence of Solutions of a Periodic Boundary-Value Problem for an Inhomogeneous Linear Hyperbolic Equation of the Second Order. I

2005 ◽  
Vol 57 (7) ◽  
pp. 1077-1088 ◽  
Author(s):  
Yu. A. Mitropol'skii ◽  
S. H. Khoma-Mohyl's'ka
Keyword(s):  
Boundary Value Problem ◽  
Hyperbolic Equation ◽  
Periodic Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Periodic Boundary Value Problem ◽  
Linear Hyperbolic Equation

scholarly journals Periodic boundary value problem for second order integro-ordinary differential equations with general kernel and Carathéodory nonlinearities

1995 ◽  
Vol 18 (4) ◽  
pp. 757-764 ◽  
Author(s):  
Juan J. Nieto
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Ordinary Differential Equations ◽  
Periodic Boundary ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Periodic Boundary Value Problem ◽  
Extremal Solutions ◽  
Monotone Method

We study the existence of solutions for the periodic boundary value problem for some second order integro-differential equations with a general kernel. Also we develop the monotone method to approximate the extremal solutions of the problem.

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