Back to Search
Start Over
Nonlinear discrete systems with global boundary conditions
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2003, Vol. 286 Issue 2, p782. 13p. - Publication Year :
- 2003
-
Abstract
- This paper is devoted to the study of boundary value problems on infinite time intervals for nonlinear, discrete-time systems. For problems of the form x(k+1)=f<fen><cp type="lpar" STYLE="S">k,x(k)<cp type="rpar" STYLE="S"></fen>+h(k), k=0,1,2,…, subject to constraints or nonlocal boundary conditions of the form ∑lower limit k=0, upper limit ∞ g<fen><cp type="lpar" STYLE="S">k,x(k)<cp type="rpar" STYLE="S"></fen>=y we analyze how perturbations in <f>h</f> and <f>y</f> affect the existence of <f>l∞</f>-solutions of this problem. In this setting, <f>h</f> is an element of <f>l∞</f> and <f>y</f> belongs to <f>Rp</f>. We also study the existence and behavior of bounded solutions to problems of the form x(k+1)=f<fen><cp type="lpar" STYLE="S">λ,k,x(k)<cp type="rpar" STYLE="S"></fen>, k=0,1,2,…, subject to ∑lower limit k=0, upper limit ∞ g<fen><cp type="lpar" STYLE="S">λ,k,x(k)<cp type="rpar" STYLE="S"></fen>=0. We place particular importance on the behavior of the solutions as a function of the parameter <f>λ</f>. [Copyright &y& Elsevier]
- Subjects :
- *INVERSE functions
*PERTURBATION theory
*MATHEMATICAL functions
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 286
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 10984680
- Full Text :
- https://doi.org/10.1016/S0022-247X(03)00536-5