Positive solutions of nonlocal singular boundary value problems

Glasgow Mathematical Journal

Volumn 46, Issue 3, 2004, Pages 537-550

  Agarwal, Ravi P ^a   O'Regan, Donal ^b   Staněk, Svatoslav ^c  

^a Florida Institute of Technology ^*  (United States)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^c PALACKÝ UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 7244224735     PISSN: 00170895     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0017089504001983     Document Type: Article

References (10)

1. R. P. Agarwal, D. O'Regan and S. Staněk, An upper and lower solution theory for the problem (G′(y))′ + f(t, y) = 0 on finite and infinite intervals, (to appear).
2. R. P. Agarwal and S. Staněk, Existence of positive solutions to singular semi-positone boundary value problems, Nonlinear Anal. 51 (2002), 821-842.
3. R. G. Bartle, A modern theory of integration (AMS Providence, Rhode Island 2001).
4. A. Cabada and R. L. Pouso, Existence theory for functionalp-Laplacian equations with variable exponents, Nonlinear Anal. 52 (2003), 557-572.
5. K. Deimling, Nonlinear functional analysis (Springer-Verlag, 1985).
6. E. Hewitt and K. Stromberg, Real and abstract analysis (Springer-Verlag, 1965).
7. D. O'Regan, Existence theory for the equations (G′(y))′ = qf(t, y, y′) and (G′(y) - pH(y))′ = -p′H(y) + qf(t, y), J. Math. Anal. Appl. 183 (1994), 435-470.
8. I. Rachůnková and S. Staněk, Connections between types of singularities in differential equations and smoothness of solutions for Dirichlet BVPs, Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Math. Anal. 10 (2003), 209-222.
9. I. Rachůnková and S. Staněk, Sign-changing solutions of singular Dirichlet boundary value problems, Archives of Inequalities and Applications 1 (2003), 11-30.
10. S. Staněk, Positive solutions of singular Dirichlet and periodic boundary value problems, Computers and Mathematics with Applications 43 (2002), 681-692.