A class of second order BVPs on infinite intervals

Electronic Journal of Qualitative Theory of Differential Equations

Volumn , Issue , 2006, Pages 1-19

  Djebali, Smaïl ^a   Moussaoui, Toufik ^a  

^a ENS ^*  (Algeria)

Author keywords

BVPs; Compactness; Criterion; Fixed point Theorems

Indexed keywords

EID: 33646410939     PISSN: 14173875     EISSN: 14173875     Source Type: Journal    
DOI: 10.14232/ejqtde.2006.1.4     Document Type: Article

References (14)

1. R.P. Agarwal, O.G. Mustafa & Yu.V. Rogovchenko, Existence and Asymptotic Behavior of Solutions of a Boundary Value Problem on an Infinite Interval, Mathematical and Computer Modelling 41 (2005), 135-157.
2. S. Djebali & T. Moussaoui, Qualitative Properties and Existence of Solutions for a Generalized Fisher-like Equation, submitted.
3. M. Furi & P. Pera, A Continuation Method on Locally Convex Spaces and Applications to ODE on Noncompact Intervals, Annales Polonici Mathematici, XLVII (1987), 331-346.
4. S. Fucik & A. Kufner, Nonlinear Differential Equations, Studies in Applied Mechanics 2, Elsevier Scientific Publishing Company, 1980.
5. D. Guo & V. Lakshmikantham, Nonlinear Problems in Abstract Cones, Academic Press, New York, 1988.
6. W.M. Hirsch, H. Hanish & J.P. Gabriel, Differential Equation models of some parasitic infectious: methods for the study of asymptotic behaviour, Communication on Pure and Appl. Math., 38 (1985), 733-753.
7. E. Kaufmann, P. Eloe & C.C. Tisdell, Multiple solutions of a boundary value problem on an unbounded domain, Dynam. Systems Appl., 15, no. 1 (2006), 53-63.
8. M.A. Krasnoselskii, Topological Methods in the Theory of Nonlinear Integral Equations, Cambridge University Press, New york, 1964.
9. B. Przeradzki, Travelling Waves for Reaction-diffusion Equations with Time Depending Nonlinearities, J. Math. Anal, and Appl., 281 (2003), 164-170.
10. K. Yoshida, Functional Analysis, third edition, Springer Verlag, Berlin, 1971.
11. E. Zeidler, Nonlinear Functional Analysis, T1, Fixed Point Theory, 1985.
12. K. Zima, Sur l'Existence des Solutions d'une équation Intégro-différentielle, Annales Polonici Mathematici, XXVII (1973) 181-187.
13. M. Zima, On a Certain Boundary Value Problem, Annales Societas Mathematicae Polonae. Series I: Commentationes Mathematicae XXIX (1990), 331-340.
14. M. Zima, On Positive Solutions of Boundary Value Problems on the Half-Line, Journal of Mathematical Analysis and Applications 259 (2001), 127-136.