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Solvability of multi-point boundary value problem at resonance. II. (English) Zbl 1053.34016
By the use of Mawhin’s coincidence degree theory, the author proves existence results for a variety of multipoint boundary value problems associated to a second-order ordinary differential equations.
For part I, see the author and J. Yu [Indian J. Pure Appl. Math. 33, 475–494 (2002; Zbl 1021.34013)].

MSC:
34B10 Nonlocal and multipoint boundary value problems for ordinary differential equations
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[1] Feng, W.; Webb, J.R.L., Solvability of m-point boundary value problems with nonlinear growth, J. math. anal. appl., 212, 467-480, (1997) · Zbl 0883.34020
[2] Feng, W.; Webb, J.R.L., Solvability of three point boundary value problems at resonance, Nonlinear anal. theory, meth. appl., 30, 3227-3238, (1997) · Zbl 0891.34019
[3] C.P. Gupta, S.K. Ntouyas, P.Ch. Tsamatos, Existence results for multi-point boundary value problems for second order ordinary differential equations (preprint)
[4] Gupta, C.P., A generalized multi-point boundary value problem for second order ordinary differential equations, Appl. math. comput., 89, 133-146, (1998) · Zbl 0910.34032
[5] B. Liu, J.S. Yu, Solvability of multi-point boundary value problem at resonance (I) (preprint)
[6] B. Liu, J.S. Yu, Solvability of multi-point boundary value problem at resonance (III) (preprint) · Zbl 1054.34033
[7] B. Liu, J.S. Yu, Solvability of multi-point boundary value problem at resonance (IV) (preprint)
[8] Mawhin, J., Topological degree and boundary value problems for nonlinear differential equations, () · Zbl 0798.34025
[9] J. Mawhin, Topological degree methods in nonlinear boundary value problems, in: NSF-CBMS Regional Conference Series in Mathematics, American Mathematical Society, Providence, RI, 1979 · Zbl 0414.34025
[10] Il’in, V.A.; Moiseev, E.I., Nonlocal boundary value problem of the first kind for a sturm – liouvilla operator in its differential and finite difference aspects, Differential equations, 23, 803-810, (1987) · Zbl 0668.34025
[11] Il’in, V.A.; Moiseev, E.I., Nonlocal boundary value problems of the second kind for a sturm – liouville operator, Differential equations, 23, 979-987, (1987) · Zbl 0668.34024
[12] Bitsadze, A.V., On the theory of nonlocal boundary value problems, Soviet math. dokl., 30, 8-10, (1984) · Zbl 0586.30036
[13] Bitsadze, A.V., On a class of conditionally solvable nonlocal boundary value problems for harmonic functions, Soviet math. dokl., 31, 91-94, (1985) · Zbl 0607.30039
[14] Bitsadze, A.V.; Samarskii, A.A., On some simple generalizations of linear elliptic boundary problems, Soviet math. dokl., 10, 398-400, (1969) · Zbl 0187.35501
[15] Ma, R.Y., Existence theorems for second order m-point boundary value problems, J. math. anal. appl., 211, 545-555, (1997) · Zbl 0884.34024
[16] Gupta, C.P., A second order m-point boundary value problem at resonance, Nonlinear anal. theory meth. appl., 24, 1483-1489, (1995) · Zbl 0824.34023
[17] Gupta, C.P., Solvability of a multi-point boundary value problem at resonance, Results math., 28, 270-276, (1995) · Zbl 0843.34023
[18] Gupta, C.P., Existence theorems for a second order m-point boundary value problem at resonance, Int. J. math. sci., 18, 705-710, (1995) · Zbl 0839.34027
[19] Regan, D.O’., Existence theory for nonlinear ordinary differential equations, (1997), Kluwer Academic Publishers Dordrecht
[20] Regan, D.O’., Theory of singular boundary value problems, (1994), World Scientific Singapore
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