Boundary-value problems for second-order ordinary differential equations. (English) Zbl 0152.28401
Keywords:
ordinary differential equationsReferences:
| [1] | Bebernes, J. W., A subfunction approach to a boundary value problem for ordinary differential equations, Pacific J. Math., 13, 1053-1066 (1963) · Zbl 0126.29701 |
| [2] | Scorza-Dragoni, G., Il problema dei valori ai limiti studiato in grande per le equazioni differenziali del secondo ordine, Math. Ann., 105, 133-143 (1931) · JFM 57.0506.01 |
| [3] | Ehrmann, H., Über die Existenz der Lösungen von Randwertaufgaben bei gewöhnlichen nichtlinearen Differentialgleichungen zweiter Ordnung, Math. Ann., 134, 167-194 (1957) · Zbl 0078.07801 |
| [4] | Fountain, L.; Jackson, L., A Generalized solution for the boundary value problem for \(y\)″ = |\((x, y, y\)′), Pacific J. Math., 12, 1251-1272 (1962) · Zbl 0112.05602 |
| [5] | Jackson, L.; Schrader, K., Comparison theorems for nonlinear differential equations, J. Differential Eqs., 3, 248-255 (1967) · Zbl 0149.29701 |
| [6] | Lees, M., A boundary value problem for nonlinear ordinary differential equations, J. Math. Mech., 10, 423-430 (1961) · Zbl 0099.06902 |
| [7] | Nagumo, M., Über die Differentialgleichung \(y\)″ = |\((x, y, y\)′), (Proc. Phys.-Math. Soc. Japan., 19 (1937)), 861-866 · JFM 63.1021.04 |
| [8] | Picard, E., Leçons sur Quelques Problèmes aux Limites de la Théorie des Équations Différentielles, (Cahiers scientifiques (1930), Gauthier-Villars: Gauthier-Villars Paris), fasc. V · JFM 56.0391.01 |
| [9] | Wong, P. K., Existence and asymptotic behavior of proper solutions of a class of second-order nonlinear differential equations, Pacific J. Math., 13, 737-760 (1963) · Zbl 0115.07203 |
| [10] | Belova, M. M., Bounded solutions of nonlinear differential equations of the second order, Sb. Materialov (new series), 56, 469-503 (1962), (in Russian) · Zbl 0105.29202 |
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