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Boundary value problems for higher order integro-differential equations. (English) Zbl 0505.45002

MSC:
45J05Integro-ordinary differential equations
34B10Nonlocal and multipoint boundary value problems for ODE
45L05Theoretical approximation of solutions of integral equations
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References:
[1] Agarwal, R. P.: Error estimates in polynomial interpolation. Bull. math. Acad. sin. 8, 623-636 (1980) · Zbl 0447.41004
[2] Agarwal, R. P.: An identity for Green’s function of multipoint boundary value problems. Proc. tamil nadu acad. Sci. 2, 41-43 (1979)
[3] Baker, C. T. H.: Methods for integro-differential equations. Numerical solution of integral equations, 189-206 (1974)
[4] Collatz, L.: The numerical treatment of differential equations. (1966) · Zbl 0173.17702
[5] Falb, P. L.; Jong, J. L.: Some successive approximation methods in control and oscillation theory. (1969) · Zbl 0202.09603
[6] Gustafson, G. B.: A Green’s function convergence principle, with applications to computation and norm estimates. Rocky mount. J. math. 6, 457-492 (1976) · Zbl 0332.34014
[7] Jackson, L.: Boundary value problems for Lipschitz equations. Differential equations, 31-50 (1980)
[8] Jackson, L.: Existence and uniqueness of solutions of boundary value problems for Lipschitz equations. J. diff. Eqns 32, 76-90 (1979) · Zbl 0407.34018
[9] Morchalo, J.: On two point boundary value problem for an integro-differential equation of second order. Math. rev. 58, 23434a (1975) · Zbl 0363.45005
[10] Morchalo, J.: On two point boundary value problem for an integro-differential equation of higher order. Math. rev. 58, 23434b (1975) · Zbl 0363.45006