Monotone iterative technique for 1-dimensional Itô-volterra integral equations†

1991 ◽  
Vol 9 (3) ◽  
pp. 285-299
Author(s):  
Jai Heui Kim ◽  
Ki Sik Ha
Keyword(s):  
Integral Equations ◽  
Monotone Iterative Technique ◽  
Volterra Integral Equations ◽  
Iterative Technique ◽  
Monotone Iterative

scholarly journals Monotone iterative technique for Caratheodory theory of nonlinear functional random integral equations

2002 ◽  
Vol 33 (4) ◽  
pp. 341-352 ◽  
Author(s):  
B. C. Dhage
Keyword(s):  
Banach Space ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Monotone Iterative Technique ◽  
Iterative Technique ◽  
Random Fixed Point ◽  
Nonlinear Functional ◽  
Monotone Iterative ◽  
Monotonicity Conditions ◽  
Random Integral

In this paper some random fixed point theorems for the mappings on an ordered Banach space are proved. As applications, the existence of the extremal solutions of some nonlinear functional random integral equations is obtained under certain monotonicity conditions.

Ordinary Differential Equations with Nonlinear Boundary Conditions

2002 ◽  
Vol 9 (2) ◽  
pp. 287-294
Author(s):  
Tadeusz Jankowski
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Ordinary Differential Equations ◽  
Nonlinear Boundary ◽  
Nonlinear Boundary Conditions ◽  
Existence Results ◽  
Monotone Iterative Technique ◽  
Lower And Upper Solutions ◽  
Iterative Technique ◽  
Monotone Iterative

Abstract The method of lower and upper solutions combined with the monotone iterative technique is used for ordinary differential equations with nonlinear boundary conditions. Some existence results are formulated for such problems.

scholarly journals Monotone Iterative Technique for Partial Dynamic Equations of First Order on Time Scales

2008 ◽  
Vol 2008 ◽  
pp. 1-7 ◽  
Author(s):  
Peiguang Wang ◽  
Ping Li
Keyword(s):  
Time Scales ◽  
Monotone Iterative Technique ◽  
Dynamic Equations ◽  
Iterative Technique ◽  
First Order ◽  
Monotone Iterative ◽  
Comparison Results

This work is concerned with the monotone iterative technique for partial dynamic equations of first order on time scales and for this purpose, the existence, uniqueness, and comparison results are also established.

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