Monotone iterations for differential equations with a parameter

Journal of Applied Mathematics and Stochastic Analysis

Volumn 10, Issue 3, 1997, Pages 273-278

  Jankowski, Tadeusz ^a   Lakshmikantham, V ^b  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

^b FLORIDA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Differential Equations; Monotone Iterations; Monotone Iterative Technique

Indexed keywords

EID: 0009823117     PISSN: 10489533     EISSN: 16872177     Source Type: Journal    
DOI: 10.1155/S1048953397000348     Document Type: Article

References (5)

1. Goma, A., The method of successive approximations in a two-point boundary value problem with a parameter, Ukr. Mat. Zh. 29 (1977), 800-807. (In Russian)
2. Jankowski, T., Existence, uniqueness and approximate solutions of problems with a parameter, Zesz. Nauk. Politech. Gdansk Mat. 16 (1993), 3-167.
3. Kurpiel, N.S. and Marusiak, A.G., A multipoint boundary value problem for differential equations with parameters, Ukr. Mat. Zh. 32 (1980), 223-226. (In Russian)
4. Ladde, G.S., Lakshmikantham, V. and Vatsala, A.S., Monotone Iterative Techniques for Nonlinear Differential Equations, Pitman, Boston 1985.
5. Pomentale, T., A constructive theorem of existence and uniqueness for the problem y′ = f(x, y, λ), y(α), α, y(b) = β, Z. Angew. Math. Mech. 56 (1976), 387-388.