SOLVABILITY OF PERIODIC BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER NONLINEAR DIFFERENTIAL EQUATION INVOLVING FRACTIONAL DERIVATIVES

被引：0

作者：

Chen, Taiyong ^{[1
]}

Liu, Wenbin ^{[1
]}

机构：

[1] China Univ Min & Technol, Dept Math, Xuzhou 221116, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

Second-order differential equation; fractional derivative; periodic boundary-value problem; coincidence degree; POSITIVE SOLUTIONS; CALCULUS APPROACH; EXISTENCE; ORDER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article concerns the existence of solutions to periodic boundary-value problems for second-order nonlinear differential equation involving fractional derivatives. Under certain linear growth condition of the nonlinearity, we obtain solutions, by using coincidence degree theory. An example illustrates our results.

引用

页数：9

共 50 条

[1] SOLVABILITY OF SECOND-ORDER BOUNDARY-VALUE PROBLEMS AT RESONANCE INVOLVING INTEGRAL CONDITIONS
Cui, Yujun
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2012,
[2] NONLINEAR BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS
PAVEL, NH
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 50 (02) : 373 - 383
[3] NONLINEAR BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER DIFFERENTIAL SYSTEMS
BERNFELD, SR
LADDE, GS
LAKSHMIK.V
[J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (01): : A140 - A140
[4] On the solvability of boundary value problems for nonlinear second-order differential equations
N. L. Partsvaniya
[J]. Differential Equations, 2007, 43 : 286 - 289
[5] On the solvability of boundary value problems for nonlinear second-order differential equations
Partsvaniya, N. L.
[J]. DIFFERENTIAL EQUATIONS, 2007, 43 (02) : 286 - 289
[6] PERIODIC BOUNDARY-VALUE PROBLEMS FOR SYSTEMS OF SECOND-ORDER DIFFERENTIAL EQUATIONS
BEBERNES, JW
SCHMITT, K
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1973, 13 (01) : 32 - 47
[7] NECESSARY AND SUFFICIENT CONDITIONS OF SOLVABILITY OF SOME BOUNDARY-VALUE PROBLEMS FOR AN ORDINARY SECOND-ORDER DIFFERENTIAL EQUATION
GUDKOV, VV
LEPIN, AY
[J]. DOKLADY AKADEMII NAUK SSSR, 1973, 210 (04): : 760 - 762
[8] SOLVABILITY OF BOUNDARY-VALUE PROBLEMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Guo, Y.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2011, 62 (09) : 1409 - 1419
[9] Boundary value problems for a second-order differential equation with involution in the second derivative and their solvability
Sarsenbi, Abdissalam
Sarsenbi, Abdizhahan
[J]. AIMS MATHEMATICS, 2023, 8 (11): : 26275 - 26289
[10] Solvability of boundary-value problems for nonlinear fractional differential equations
Y. Guo
[J]. Ukrainian Mathematical Journal, 2011, 62 : 1409 - 1419

← 1 2 3 4 5 →