Positive Solutions for Second-Order Impulsive Time Scale Boundary Value Problems on Infinite Intervals

被引：1

作者：

Yaslan, Ismail ^{[1
]}

Tozak, Esma ^{[1
]}

机构：

[1] Pamukkale Univ, Dept Math, TR-20070 Denizli, Turkey

来源：

FILOMAT | 2021年 / 35卷 / 12期

关键词：

  Boundary value problems; cone; difference equations; differential equations; fixed point theorems; impulsive dynamic equations; positive solutions; time scales; DYNAMIC EQUATIONS; P-LAPLACIAN; EXISTENCE;

D O I：

10.2298/FIL2112209Y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of at least one, two and three positive solutions to the nonlinear second order m-point impulsive time scale boundary value problems on infinite intervals by using the Krasnosel'skii fixed point theorem, Avery-Henderson fixed point theorem and the five functionals fixed point theorem, respectively.

引用

页码：4209 / 4220

页数：12

共 33 条

[1] Agarwal R.P., 2004, FUNCTIONAL DIFFERENT, V11, P223
[2] Avery R. I., 1999, MATH SCI RES HOT LIN, V3, P9
[3] Avery R.I., 2001, Comm. Appl. Nonlinear Anal, V8, P27
[4] Extremal solutions of second order impulsive dynamic equations on time scales
Benchohra, M.
Ntouyas, S. K.
Ouahab, A.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 324 (01) : 425 - 434
[5] Existence results for second order boundary value problem of impulsive dynamic equations on time scales
Benchohra, M
Ntouyas, SK
Ouahab, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 296 (01) : 65 - 73
[6] Benchohra M., 2006, Impulsive Differential Equations and Inclusions, V2
[7] Bohner M., 2003, ADV DYNAMIC EQUATION, DOI DOI 10.1007/978-0-8176-8230-9
[8] Bohner Martin., 2001, DYNAMIC EQUATIONS TI, DOI DOI 10.1007/978-1-4612-0201-1
[9] Fen F. T., 2016, DYNAM SYST APPL, V7, P83
[10] Existence of Positive Solutions for Nonlinear Second-Order Impulsive Boundary Value Problems on Time Scales
Fen, Fatma Tokmak
Karaca, Ilkay Yaslan
[J]. MEDITERRANEAN JOURNAL OF MATHEMATICS, 2016, 13 (01) : 191 - 204

← 1 2 3 4 →