A generalized upper and lower solution method for singular discrete initial value problems

• Autorzy: Agarwal R. P. , Jiang D. , O'Regan D.
• Języki publikacji: EN

Abstrakty

EN

This paper presents new existence results for singular discrete initial value problems. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign.

Słowa kluczowe

EN

lower solution; discrete initial value problem

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 1
• Strony: 115--122
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Agarwal R. P.

• Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida 32901-6975, USA

autor

Jiang D.

• Dept. of Mathematics, Northeast Normal University, Changchun 130024, P. R. China

autor

O'Regan D.

• Department of Mathematics, National University of Ireland, Galway, Ireland

Bibliografia

• [1] R.P. Agarwal, D. O'Regan, V. Lakshmikantham, Existence criteria for singular initial value problems with sign changing nonlinearities, Math. Probl. Engin. 7 (2001), 503-524.
• [2] R.P. Agarwal, D. O'Regan, V. Lakshmikantham, S. Leela, Existence of positive solutions for singular initial and boundary value problems via the classical upper and lower solution approach, Nonlinear Analysis, 50 (2002), 215-222.
• [3] M.N. Nkashama, A generalized upper and lower solution method and multiplicity results for nonlinear first order ordinary differential equations, J. Math. Anal. Appl. 140 (1989), 381-395.