scholarly journals A generalization of the monotone iterative technique for nonlinear second order periodic boundary value problems

1990 ◽  
Vol 151 (1) ◽  
pp. 181-189 ◽  
Author(s):  
Alberto Cabada ◽  
Juan J Nieto
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Monotone Iterative Technique ◽  
Second Order ◽  
Iterative Technique ◽  
Monotone Iterative ◽  
Periodic Boundary Value Problems

scholarly journals Computation of Positive Solutions for Nonlinear Impulsive Integral Boundary Value Problems withp-Laplacian on Infinite Intervals

2013 ◽  
Vol 2013 ◽  
pp. 1-13
Author(s):  
Xingqiu Zhang
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Monotone Iterative Technique ◽  
Second Order ◽  
Iterative Technique ◽  
Integral Boundary ◽  
Monotone Iterative ◽  
Infinite Intervals ◽  
Integral Boundary Value Problems

This paper deals with the existence and iteration of positive solutions for nonlinear second-order impulsive integral boundary value problems withp-Laplacian on infinite intervals. Our approach is based on the monotone iterative technique.

scholarly journals Periodic Boundary Value Problems for First-Order Impulsive Functional Integrodifferential Equations with Integral-Jump Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-12
Author(s):  
Chatthai Thaiprayoon ◽  
Decha Samana ◽  
Jessada Tariboon
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Integrodifferential Equations ◽  
Jump Conditions ◽  
Comparison Result ◽  
First Order ◽  
Monotone Iterative ◽  
Periodic Boundary Value Problems ◽  
Minimal And Maximal Solutions

By developing a new comparison result and using the monotone iterative technique, we are able to obtain existence of minimal and maximal solutions of periodic boundary value problems for first-order impulsive functional integrodifferential equations with integral-jump conditions. An example is also given to illustrate our results.

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