scholarly journals Notes on Existence and uniqueness of solutions for second order periodic-integrable boundary value problems

2012 ◽  
Vol 25 (12) ◽  
pp. 2423-2428 ◽  
Author(s):  
Hongtu Hua ◽  
Fuzhong Cong ◽  
Yi Cheng
Keyword(s):  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Second Order ◽  
Uniqueness Of Solutions

scholarly journals On Solution of Two-Point Fuzzy Boundary Value Problems

2014 ◽  
Vol 11 ◽  
pp. 31-39 ◽  
Author(s):  
Hülya Gültekin ◽  
Nihat Altinişik
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Second Order ◽  
Uniqueness Of Solutions ◽  
Fuzzy Boundary Value Problems ◽  
Fuzzy Boundary

In this paper, we investigate the existence and uniqueness of solutions of two-point fuzzy boundary value problems for second-order fuzzy differential equations. Some sufficient conditions are presented that guarantee the existence and uniqueness of solutions under the approach of Hukuhara differentiability.

scholarly journals Existence and Uniqueness of Solutions to Third-Order Boundary Value Problems

2021 ◽  
Vol 22 (2) ◽  
pp. 221-240
Author(s):  
S. S. Almuthaybiri ◽  
J. M. Jonnalagadda ◽  
C. C. Tisdell
Keyword(s):  
Fixed Point ◽  
Boundary Value Problems ◽  
Existence And Uniqueness ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Uniqueness Of Solutions ◽  
Third Order ◽  
Fixed Point Methods ◽  
Bounded Sets

The purpose of this research is to connect fixed point methods with certain third-order boundary value problems in new and interesting ways. Our strategy involves an analysis of the problem under consideration within closed and bounded sets. We develop sufficient conditions under which the associated mappings will be contractive and invariant in these sets, which generates new advances concerning the existence, uniqueness and approximation of solutions.

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