Solutions of periodic boundary value problems for first-order linear fuzzy differential equations under new conditions

被引：0

作者：

Sarvestani, M. Salehi ^{[1
]}

Chehlabi, M. ^{[1
]}

机构：

[1] Islamic Azad Univ, Dept Math, Savadkooh Branch, Savadkooh, Iran

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2024年 / 43卷 / 05期

关键词：

Generalized differentiability; Fuzzy periodic boundary value problem; Switching point; GENERALIZED HUKUHARA DIFFERENTIABILITY; CAUCHY-PROBLEM; UNIQUENESS; EXISTENCE; CALCULUS;

D O I：

10.1007/s40314-024-02713-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the generalized differentiability concept, first, some properties of continuity of the derivative function and the existence of switching points for a fuzzy-valued function are obtained. Next, the new sufficient conditions for existence of solutions to the periodic boundary problems for first-order linear fuzzy differential equations are presented, in detail. Finally, some examples are solved to illustrate the obtained results.

引用

页数：19

共 50 条

[1] Periodic boundary value problems for first-order linear differential equations with uncertainty under generalized differentiability
Khastan, A.
Nieto, J. J.
Rodriguez-Lopez, Rosana
INFORMATION SCIENCES, 2013, 222 : 544 - 558
[2] Positive solutions of periodic boundary value problems for nonlinear first-order impulsive differential equations
Liu, Yuji
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) : 2106 - 2122
[3] On the existence of solutions to periodic boundary value problems for fuzzy linear differential equations
Rodriguez-Lopez, Rosana
FUZZY SETS AND SYSTEMS, 2013, 219 : 1 - 26
[4] On periodic solutions to first order linear fuzzy differential equations under differential inclusions' approach
Khastan, A.
Rodriguez-Lopez, Rosana
INFORMATION SCIENCES, 2015, 322 : 31 - 50
[5] ON INITIAL VALUE PROBLEMS FOR FIRST-ORDER IMPLICIT IMPULSIVE FUZZY DIFFERENTIAL EQUATIONS
Lan, Heng-You
Nieto, Juan J.
DYNAMIC SYSTEMS AND APPLICATIONS, 2009, 18 (3-4): : 677 - 686
[6] Exact solution to the periodic boundary value problem for a first-order linear fuzzy differential equation with impulses
Nieto, Juan J.
Rodriguez-Lopez, Rosana
Villanueva-Pesqueira, Manuel
FUZZY OPTIMIZATION AND DECISION MAKING, 2011, 10 (04) : 323 - 339
[7] Existence of solutions to initial value problems for first-order differential equations
Keevedjiev, P
Seman, J
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 57 (7-8) : 879 - 889
[8] On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations
Jiang, DQ
Nieto, JJ
Zuo, WJ
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (02) : 691 - 699
[9] Non-Linear First-Order Differential Boundary Problems with Multipoint and Integral Conditions
Mardanov, Misir J.
Sharifov, Yagub A.
Gasimov, Yusif S.
Cattani, Carlo
FRACTAL AND FRACTIONAL, 2021, 5 (01) : 1 - 13
[10] Periodic boundary value problems for first order functional differential equations with impulse
Liu, Yansheng
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (01) : 27 - 39

← 1 2 3 4 5 →