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Existence theorems for second order boundary value problems. (English) Zbl 0172.11302


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[1] Jackson, L.; Schrader, K., Comparison theorems for nonlinear differential equations, J. Differential Eqs., 3, 248-255 (1967) · Zbl 0149.29701
[2] Schrader, K., Boundary-value problems for second-order ordinary differential equations, J. Differential Eqs., 3, 403-413 (1967) · Zbl 0152.28401
[3] Schrader, K., Solutions of second order ordinary differential equations, J. Differential Eqs., 4, 510-518 (1968) · Zbl 0174.13503
[4] Bailey, P.; Shampine, L.; Waltman, P., The first and second boundary value problems for nonlinear second order differential equations, J. Differential Eqs., 2, 399-411 (1966) · Zbl 0145.11104
[5] Moyer, R. D., Second order differential equations of monotonic type, J. Differential Eqs., 2, 281-292 (1966) · Zbl 0199.14101
[6] Schuur, J. D., The existence of proper solutions of a second order ordinary differential equation, (Proc. Amer. Math. Soc., 17 (1966)), 595-597 · Zbl 0145.10403
[7] Lasota, A.; Opial, Z., On the existence and uniqueness of solutions of a boundary value problem for an ordinary second-order differential equation, (Colloq. Math., 18 (1967)), 1-5 · Zbl 0155.41401
[8] Jackson, L., Subfunctions and second order ordinary differential inequalities, Advances in Math., 2, 307-363 (1968) · Zbl 0197.06401
[9] Shampine, L.; Shampine, L.
[10] Hartman, P., Ordinary Differential Equations (1964), Wiley: Wiley New York · Zbl 0125.32102
[11] Klassen, G., Boundary value problems for second order nonlinear differential equations, (Ph.D. thesis (1968), University of Nebraska)
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