scholarly journals Monotone Iterative Technique for First-Order Nonlinear Periodic Boundary Value Problems on Time Scales

2010 ◽  
Vol 2010 (1) ◽  
pp. 620459 ◽  
Author(s):  
Ya-Hong Zhao ◽  
Jian-Ping Sun
Keyword(s):  
Boundary Value Problems ◽  
Time Scales ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Monotone Iterative Technique ◽  
Iterative Technique ◽  
First Order ◽  
Monotone Iterative ◽  
Periodic Boundary Value Problems

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.

Symmetric positive solutions for the systems of higher-order boundary value problems on time scales

2017 ◽  
Vol 8 (4) ◽  
Author(s):  
Arzu Denk Oğuz ◽  
Fatma Serap Topal
Keyword(s):  
Boundary Value Problems ◽  
Recent Work ◽  
Positive Solutions ◽  
Time Scales ◽  
Boundary Value ◽  
Higher Order ◽  
Monotone Iterative Technique ◽  
Iterative Technique ◽  
Monotone Iterative ◽  
Symmetric Positive Solutions

AbstractIn this paper, we discuss the existence of symmetric positive solutions for the systems of higher-order boundary value problems on time scales. Our results extend some recent work in the literature. The analysis of this paper mainly relies on the monotone iterative technique.

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