On a singular boundary value problem for a second order ordinary differential equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 42, Issue 6, 2000, Pages 949-960

  Lepin, A ^a   Ponomarev, V ^a  

^a UNIVERSITY OF LATVIA   (Latvia)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; ORDINARY DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

LOCAL CARATHEODORY CONDITIONS;

NONLINEAR EQUATIONS;

EID: 0343442478     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00139-X     Document Type: Article

References (10)

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2. P. Habets, F. Zanolin, Positive solutions for a class of singular boundary value problems, Recherches de mathématique, vol. 35, October 1993, Prépublication, Institut de mathématique pure et appliquée Université Catholique de Louvain.
3. Habets P., Zanolin F. Upper and lower solutions for a generalized Emden-Fowler equation. J. Math. Anal. Appl. 181(3):1994;684-700.
4. Jackson L.K. Subfunctions and second-order ordinary differential inequalities. Adv. Math. 2:1967;307-363.
5. I.T. Kiguradze, Some Singular Boundary Value Problems for Ordinary Differential Equations, Tbilissi University Press, Tbilissi, 1975 (in Russian).
6. I.T. Kiguradze, B.L. Shechter, Singular boundary value problems for second order ordinary differential equations, Reviews in Science and Engineering Series, Institute of Science and Engineering Information, Problems in Contemporary Mathematics, Recent Advances, vol. 300, 1987 (in Russian).
7. L.A. Lepin, Generalized solutions and solvability of second order boundary value problems, Differencial'nye uravnenija (Diff. Equations) 18(8) (1982) 1323-1330 (in Russian).
8. A.J. Lepin, L.A. Lepin, Boundary value problems for a second order ordinary differential equation, Riga, Zinatne, 1988 (in Russian).
9. Nagumo M. Über die Differentialgleichning. y′′ = f (x,y,y′) Proc. Phys. Math. Soc. Japan. 19(3):1937;861-866.
10. Schrader K.W. Existence theorems for second-order boundary value problems. J. Differental Equations. 5(3):1969;572-584.