Solutions of Sturm-Liouville type multi-point boundary value problems for higher-order differential equations

2007 ◽  
Vol 23 (1-2) ◽  
pp. 167-182 ◽  
Author(s):  
Yuji Liu
Keyword(s):  
Differential Equations ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Higher Order ◽  
Point Boundary ◽  
Liouville Type ◽  
Sturm Liouville ◽  
Higher Order Differential Equations

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.

scholarly journals Solutions of a multi-point boundary value problem for higher-order differential equations at resonance (III)

2005 ◽  
Vol 36 (2) ◽  
pp. 119-130 ◽  
Author(s):  
Yuji Liu ◽  
Weigao Ge
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Existence Of Solutions ◽  
Boundary Value ◽  
Higher Order ◽  
Point Boundary ◽  
At Resonance ◽  
Higher Order Differential Equations

In this paper, we are concerned with the existence of solutions of the following multi-point boundary value problem consisting of the higher-order differential equations$ x^{(n)}(t)=f(t,x(t),x'(t),\cdots,x^{(n-1)}(t))+e(t),\;\;0

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.

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