Some existence and nonexistence principles for a class of singular boundary value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 10, 1996, Pages 1147-1164

  Liu, Xiyu ^a  

^a SHANDONG NORMAL UNIVERSITY   (China)

Author keywords

Boundary value problems; Existence; Fixed points; Nonlinear; Singular

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL TECHNIQUES; PROBLEM SOLVING; THEOREM PROVING;

A PRIORI BOUNDS; ARZELA-ASCORI THEOREM; DIRICHLET PROBLEM; FIXED POINTS THEOREMS;

NONLINEAR EQUATIONS;

EID: 0030296051     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00126-G     Document Type: Article

References (6)

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2. DUNNINGER D. R. & KURTZ J. C., Existence of solutions for some nonlinear singular boundary value problems, J. math. Analysis Applic. 115, 396-405 (1986).
3. BOBISUD L. E., O'REGAN D. & RAYALTY W. D., Solvability of some nonlinear BVP, Nonlinear Analysis 12, 855-869 (1988).
4. GATICA J. A., OLIKER V. & WALTMAN P., Singular nonlinear BVP for second order ODE, J. diff. Eqns 79, 62-78 (1989).
5. O'REGAN D., Singular second order BVP, Nonlinear Analysis 65, 1097-1109 (1990).
6. GUO D. & LAKSHMIKANTHAM V., Nonlinear Problems in A bstract Cones, Notes and Reports in Mathematics in Science and Engineering, Vol. 5. Academic Press, New York (1988).