Positive solutions of m-point boundary value problems for higher order ordinary differential equations

2007 ◽  
Vol 66 (7) ◽  
pp. 1573-1586 ◽  
Author(s):  
Yanping Guo ◽  
Jiwei Tian
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Higher Order ◽  
Point Boundary

scholarly journals On Two-Point Boundary Value Problems for Systems of Higher-Order Ordinary Differential Equations with Singularities

1994 ◽  
Vol 1 (1) ◽  
pp. 31-45
Author(s):  
I. Kiguradze ◽  
G. Tskhovrebadze
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Boundary Value Problems ◽  
Vector Function ◽  
Unique Solvability ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Point Boundary

Abstract The sufficient conditions of solvability and unique solvability of the two-point boundary value problems of Vallèe-Poussin and Cauchy-Niccoletti have been found for a system of ordinary differential equations of the form u (n) = ƒ(t, u, u′, . . . , u (n – 1)), where the vector function has nonintegrable singularities with respect to the first argument at the points a and b.

scholarly journals POSITIVE SOLUTIONS FOR SINGULAR SYSTEMS OF HIGHER-ORDER MULTI-POINT BOUNDARY VALUE PROBLEMS

2013 ◽  
Vol 18 (3) ◽  
pp. 309-324 ◽  
Author(s):  
Johnny Henderson ◽  
Rodica Luca
Keyword(s):  
Differential Equations ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Singular Systems ◽  
Boundary Value ◽  
Higher Order ◽  
Point Boundary ◽  
Existence Of Positive Solutions ◽  
Higher Order Differential Equations

We investigate the existence of positive solutions for systems of singular nonlinear higher-order differential equations subject to multi-point boundary conditions.

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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