Geodesic
Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations
Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 475-490

Voir la notice de l'article provenant de la source Cambridge

DOI

In this paper we shall discuss nonlinear multipoint boundary value problems for second order differential equations when deviating arguments depend on the unknown solution. Sufficient conditions under which such problems have extremal and quasi-solutions are given. The problem of when a unique solution exists is also investigated. To obtain existence results, a monotone iterative technique is used. Two examples are added to verify theoretical results.
DOI : 10.4153/CMB-2010-045-4
Mots-clés : 34A45, 34K10, second order differential equations, deviated arguments, nonlinear boundary conditions, extremal solutions, quasi-solutions, unique solution 
Jankowski, Tadeusz. Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations. Canadian mathematical bulletin, Tome 53 (2010) no. 3, pp. 475-490. doi: 10.4153/CMB-2010-045-4
@article{10_4153_CMB_2010_045_4,
     author = {Jankowski, Tadeusz},
     title = {Nonlinear {Multipoint} {Boundary} {Value} {Problems} for {Second} {Order} {Differential} {Equations}},
     journal = {Canadian mathematical bulletin},
     pages = {475--490},
     year = {2010},
     volume = {53},
     number = {3},
     doi = {10.4153/CMB-2010-045-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-045-4/}
}
TY  - JOUR
AU  - Jankowski, Tadeusz
TI  - Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations
JO  - Canadian mathematical bulletin
PY  - 2010
SP  - 475
EP  - 490
VL  - 53
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-045-4/
DO  - 10.4153/CMB-2010-045-4
ID  - 10_4153_CMB_2010_045_4
ER  - 
%0 Journal Article
%A Jankowski, Tadeusz
%T Nonlinear Multipoint Boundary Value Problems for Second Order Differential Equations
%J Canadian mathematical bulletin
%D 2010
%P 475-490
%V 53
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-045-4/
%R 10.4153/CMB-2010-045-4
%F 10_4153_CMB_2010_045_4

Cité par Sources :