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

MSC:
34B15Nonlinear boundary value problems for ODE
34C10Qualitative theory of oscillations of ODE: zeros, disconjugacy and comparison theory
34A45Theoretical approximation of solutions of ODE
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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, A nonlinear boundary value problem (submitted for publication).
[8] Hartman, P.: Ordinary differential equations. (1964) · Zbl 0125.32102
[9] Jackson, L. K.: Subfunctions and second order differential inequalities. Advances in math. 2 (1968)