scholarly journals Existence of Positive Solutions in Generalized Boundary Value Problem for p-Laplacian Dynamic Equations on Time Scales

2009 ◽  
Vol 2009 ◽  
pp. 1-19
Author(s):  
Wenyong Zhong ◽  
Wei Lin
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Time Scales ◽  
Boundary Value ◽  
Dynamic Equations ◽  
Existence Of Positive Solutions

scholarly journals Several Existence Theorems of Nonlinearm-Point BVP for an Increasing Homeomorphism and Homomorphism on Time Scales

2008 ◽  
Vol 2008 ◽  
pp. 1-13
Author(s):  
Yanbin Sang ◽  
Hua Su ◽  
Yafeng Xiao
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Time Scales ◽  
Existence Theorems ◽  
Boundary Value ◽  
Dynamic Equations ◽  
Point Boundary

Several existence theorems of positive solutions are established for nonlinearm-point boundary value problem for the following dynamic equations on time scales(ϕ(uΔ))∇+a(t)f(t,u(t))=0,t∈(0,T),ϕ(uΔ(0))=∑i=1m−2aiϕ(uΔ(ξi)),u(T)=∑i=1m−2biu(ξi), whereϕ:R→Ris an increasing homeomorphism and homomorphism andϕ(0)=0. As an application, an example to demonstrate our results is given.

scholarly journals Twin Positive Solutions of a Nonlinearm-Point Boundary Value Problem for Third-Orderp-Laplacian Dynamic Equations on Time Scales

2008 ◽  
Vol 2008 ◽  
pp. 1-19
Author(s):  
Wei Han ◽  
Guang Zhang
Keyword(s):  
Fixed Point ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Time Scales ◽  
Existence Theorems ◽  
Boundary Value ◽  
Dynamic Equations ◽  
Point Boundary ◽  
Third Order ◽  
Related Literature

Several existence theorems of twin positive solutions are established for a nonlinearm-point boundary value problem of third-orderp-Laplacian dynamic equations on time scales by using a fixed point theorem. We present two theorems and four corollaries which generalize the results of related literature. As an application, an example to demonstrate our results is given. The obtained conditions are different from some known results.

scholarly journals Positive solutions of impulsive time-scale boundary value problems with p-Laplacian on the half-line

Filomat ◽  
2019 ◽  
Vol 33 (2) ◽  
pp. 415-433
Author(s):  
Karaca Yaslan ◽  
Aycan Sinanoglu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Positive Solutions ◽  
Time Scale ◽  
Boundary Value ◽  
Dynamic Equations ◽  
Half Line ◽  
Existence Of Positive Solutions

In this paper, four functionals fixed point theorem is used to investigate the existence of positive solutions for second-order time-scale boundary value problem of impulsive dynamic equations on the half-line.

scholarly journals Multiple Positive Solutions to Multipoint Boundary Value Problem for a System of Second-Order Nonlinear Semipositone Differential Equations on Time Scales

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Gang Wu ◽  
Longsuo Li ◽  
Xinrong Cong ◽  
Xiufeng Miao
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Time Scales ◽  
Fixed Point Theorems ◽  
Boundary Value ◽  
Second Order ◽  
Dynamic Equations ◽  
Multiple Positive Solutions ◽  
Multipoint Boundary ◽  
Multipoint Boundary Value Problem

We study a system of second-order dynamic equations on time scales(p1u1∇)Δ(t)-q1(t)u1(t)+λf1(t,u1(t),u2(t))=0,t∈(t1,tn),(p2u2∇)Δ(t)-q2(t)u2(t)+λf2(t,u1(t),u2(t))=0, satisfying four kinds of different multipoint boundary value conditions,fiis continuous and semipositone. We derive an interval ofλsuch that anyλlying in this interval, the semipositone coupled boundary value problem has multiple positive solutions. The arguments are based upon fixed-point theorems in a cone.

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