A class of nth-order BVPs with nonlocal conditions

Computers and Mathematics with Applications

Volumn 58, Issue 8, 2009, Pages 1662-1671

  Graef, John R ^a   Moussaoui, Toufik ^b  

^a UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

^b Ecole Normale Superieure de Kouba   (Algeria)

Author keywords

BVPs; Existence; Fixed point theorems; Nonlocal conditions

Indexed keywords

BVPS; EXISTENCE; EXISTENCE RESULTS; FIXED POINT THEOREMS; NONLOCAL CONDITIONS; ORDER BOUNDARIES;

DIFFERENTIAL EQUATIONS;

EID: 69749097766     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2009.07.009     Document Type: Article

References (9)

1. Eloe P.W., and Ahmad B. Positive solutions of a nonlinear nth order boundary value problem with nonlocal conditions. Appl. Math. Lett. 18 (2005) 521-527
2. Infante G. Eigenvalues of some non-local boundary value problems. Proc. Edinb. Math. Soc. 46 (2003) 75-86
3. Infante G., and Webb J. Three point boundary value problems with solutions that change sign. J. Integral Equations Appl. 15 (2003) 37-57
4. Zeidler E. Nonlinear Functional Analysis and its Applications. Vol. I: Fixed Point Theorems (1986), Springer-Verlag, New York
5. Deimling K. Nonlinear Functional Analysis (1985), Springer-Verlag, Berlin, Heidelberg
6. Webb J.R.L. Nonlocal conjugate type boundary value problems of higher order. Nonlinear Anal. 71 (2009) 1933-1940
7. Guo D., and Lakshmikantham V. Nonlinear Problems in Abstract Cones (1988), Academic Press, New York
8. Krasnosel'skii M.A. Topological Methods in the Theory of Nonlinear Integral Equations (1964), Cambridge University Press, New York
9. Pang C., Dong W., and Wei Z. Green's function and positive solutions of nth order m-point boundary value problem. Appl. Math. Comput. 182 (2006) 1231-1239