Paper Info
Title
Exact solution to the periodic boundary value problem for a first-order linear fuzzy differential equation with impulses
Abstract
Using the expression of the exact solution to a periodic boundary value problem for an impulsive first-order linear differential equation, we consider an extension to the fuzzy case and prove the existence and uniqueness of solution for a first-order linear fuzzy differential equation with impulses subject to boundary value conditions. We obtain the explicit solution by calculating the solutions on each level set and justify that the parametric functions obtained define a proper fuzzy function. Our results prove that the solution of the fuzzy differential equation of interest is determined, under the appropriate conditions, by the same Green's function obtained for the real case. Thus, the results proved extend some theorems given for ordinary differential equations.
Year
DOI
Venue
2011
10.1007/s10700-011-9108-3
FO & DM
Keywords
Field
DocType
First-order fuzzy differential equations,Linear fuzzy differential equations,Periodic boundary value problems,Green’s function
Boundary value problem,Differential equation,Mathematical optimization,Mathematical analysis,Linear differential equation,First-order partial differential equation,Integrating factor,Homogeneous differential equation,Exact differential equation,Mathematics,Universal differential equation
Journal
Volume
Issue
ISSN
10
4
1568-4539
Citations 
PageRank 
References 
13
0.76
16
Authors
3
Name
Order
Citations
PageRank
Juan J. Nieto155981.45
Rosana RodríGuez-LóPez231636.50
Manuel Villanueva-Pesqueira3141.58