Two-point boundary value problems of uncertain dynamical systems

2011 ◽  
Vol 179 (1) ◽  
pp. 50-61 ◽  
Author(s):  
Daohua Li ◽  
Minghao Chen ◽  
Xiaoping Xue
Keyword(s):  
Dynamical Systems ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary ◽  
Uncertain Dynamical Systems

Two-point boundary value problems of undamped uncertain dynamical systems

2008 ◽  
Vol 159 (16) ◽  
pp. 2077-2089 ◽  
Author(s):  
Minghao Chen ◽  
Yongqiang Fu ◽  
Xiaoping Xue ◽  
Congxin Wu
Keyword(s):  
Dynamical Systems ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Point Boundary ◽  
Uncertain Dynamical Systems

scholarly journals Existence of Multiple Positive Solutions for Even Order Multi-Point Boundary Value Problems

2007 ◽  
Vol 14 (4) ◽  
pp. 775-792
Author(s):  
Youyu Wang ◽  
Weigao Ge
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Multiple Positive Solutions ◽  
Point Boundary ◽  
Even Order

Abstract In this paper, we consider the existence of multiple positive solutions for the 2𝑛th order 𝑚-point boundary value problem: where (0,1), 0 < ξ 1 < ξ 2 < ⋯ < ξ 𝑚–2 < 1. Using the Leggett–Williams fixed point theorem, we provide sufficient conditions for the existence of at least three positive solutions to the above boundary value problem. The associated Green's function for the above problem is also given.

Boundary-Value Problems for Third-Order Lipschitz Ordinary Differential Equations

2014 ◽  
Vol 58 (1) ◽  
pp. 183-197 ◽  
Author(s):  
John R. Graef ◽  
Johnny Henderson ◽  
Rodrica Luca ◽  
Yu Tian
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Order Differential Equation ◽  
Boundary Value ◽  
Point Boundary ◽  
Third Order ◽  
Optimal Length ◽  
The Third

AbstractFor the third-order differential equationy′″ = ƒ(t, y, y′, y″), where, questions involving ‘uniqueness implies uniqueness’, ‘uniqueness implies existence’ and ‘optimal length subintervals of (a, b) on which solutions are unique’ are studied for a class of two-point boundary-value problems.

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