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Nonlinear boundary value problems for second order differential equations. (English) Zbl 0284.34017


MSC:

34B15 Nonlinear boundary value problems for ordinary differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A45 Theoretical approximation of solutions to ordinary differential equations
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References:

[1] Knobloch, H. W., Comparison theorems for nonlinear second order differential equations, J. Diff. Eqs., 1, 1-26 (1965) · Zbl 0134.07005
[2] Knobloch, H. W., Second order differential inequalities and a nonlinear boundary value problem, J. Diff. Eqs., 5, 55-71 (1969) · Zbl 0165.41401
[3] Jackson, L. K.; Schrader, K. W., Comparison theorems for nonlinear differential equations, J. Diff. Eqs., 3, 248-255 (1967) · Zbl 0149.29701
[4] Reid, W., Comparison theorems for nonlinear vector differential equations, J. Diff. Eqs., 5, 324-337 (1969) · Zbl 0165.41601
[5] Keller, H. B., Existence theory for two point boundary value problems, Bull. Amer. Math. Soc., 72, 728-731 (1966) · Zbl 0146.11503
[6] Bebernes, J. W.; Gaines, Robert, Dependence on boundary data and a generalized boundary value problem, J. Diff. Eqs., 4, 359-368 (1968) · Zbl 0169.10602
[7] Klaus Schmitt; Klaus Schmitt
[8] Hartman, P., Ordinary Differential Equations (1964), Wiley and Sons, Inc: Wiley and Sons, Inc New York · Zbl 0125.32102
[9] Jackson, L. K., Subfunctions and second order differential inequalities, Advances in Math., 2 (1968) · Zbl 0197.06401
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