Transformation techniques and positive solutions for some second-order four-point impulsive boundary value problems

2017 ◽  
Vol 7 (4) ◽  
pp. 353
Author(s):  
Yanhua Gu
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Transformation Techniques ◽  
Impulsive Boundary Value Problems ◽  
Order Four

Positive solutions for second-order four-point boundary value problems with alternating coefficient

2009 ◽  
Vol 70 (5) ◽  
pp. 2014-2023 ◽  
Author(s):  
Chuanzhi Bai ◽  
Dapeng Xie ◽  
Yang Liu ◽  
Chunli Wang
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Point Boundary ◽  
Order Four

scholarly journals Multiple positive solutions for nonlinear second-order m-point impulsive boundary value problems on time scales

Filomat ◽  
2015 ◽  
Vol 29 (4) ◽  
pp. 817-827
Author(s):  
Ilkay Karaca ◽  
Fatma Fen
Keyword(s):  
Boundary Value Problems ◽  
Positive Solutions ◽  
Time Scales ◽  
Boundary Value ◽  
Index Theory ◽  
Second Order ◽  
Multiple Positive Solutions ◽  
Impulsive Boundary Value Problems ◽  
Fixed Point Index Theory ◽  
Existence Of Positive Solutions

In this paper, by using fixed point index theory, we study the existence of positive solutions for nonlinear second-order m-point impulsive boundary value problems on time scales. As an application, we give an example to demonstrate our results.

EXISTENCE THEOREMS OF POSITIVE SOLUTIONS FOR FOURTH-ORDER FOUR-POINT BOUNDARY VALUE PROBLEMS

2004 ◽  
Vol 02 (01) ◽  
pp. 71-85 ◽  
Author(s):  
YUJI LIU ◽  
WEIGAO GE
Keyword(s):  
Differential Equation ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Fourth Order ◽  
Existence Theorems ◽  
Boundary Value ◽  
Growth Conditions ◽  
Point Boundary ◽  
Order Ordinary Differential Equation ◽  
Order Four

In this paper, we study four-point boundary value problems for a fourth-order ordinary differential equation of the form [Formula: see text] with one of the following boundary conditions: [Formula: see text] or [Formula: see text] Growth conditions on f which guarantee existence of at least three positive solutions for the problems (E)–(B1) and (E)–(B2) are imposed.

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