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Article contents
On the solvability of a linear boundary value problem for a class of neutral type functional differential equations
Published online by Cambridge University Press: 14 November 2011
Synopsis
The paper considers a linear non-homogeneous boundary value problem for a class of neutral type functional differential equations. A necessary and sufficient condition for the existence of a unique solution of that problem is obtained.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 93 , Issue 1-2 , 1982 , pp. 25 - 31
- Copyright
- Copyright © Royal Society of Edinburgh 1982
References
1Grimm, L. J. and Schmitt, K.. Boundary value problem for delay-differential equations. Bull. Amer. Math. Soc. 74 (1968), 997–1000.CrossRefGoogle Scholar
2Schmitt, K.. Boundary value problems for nonlinear second order differential equations. Monatsh. Math. 72 (1968), 354–374.CrossRefGoogle Scholar
3Grimm, L. J. and Schmitt, K.. Boundary value problems for differential equations with deviating arguments. Aequationes Math. 4 (1970), 176–190.CrossRefGoogle Scholar
4Hale, J. K.. Functional differential equations. Applied Mathematical Sciences 3 (New York: Springer 1971).Google Scholar
5Gustafson, G. B. and Schmitt, K.. Nonzero solutions of boundary value problems for second order ordinary and delay-differential equations. J. Differential Equations 12 (1972), 129–147.CrossRefGoogle Scholar
6Reddien, G. W. and Webb, G. F.. Boundary value problems for functional differential equations with L 2 initial functions. Trans. Amer. Math. Soc. 233 (1976), 305–321.Google Scholar
7Hale, J. K.. Theory of functional differential equations. Applied Mathematical Sciences 3 (New York: Springer, 1977).Google Scholar
8Huston, V.. A note on a boundary value problem for linear differential difference equations of mixed type. J. Math. Anal. Appl. 61 (1977), 416–425.Google Scholar
9Dyson, J. and Villella, B. Rosanna. A nonlinear boundary problem for a functional-differential equation. J. Differential Equations 34 (1979), 273–290.CrossRefGoogle Scholar
10Nepomnyashchaya, E. M. and Sadovskii, B. N.. On the method of consecutive approximation for neutral type functional-differential equations. Trudy Math. Fak. 6 (1975), 59–68 (VGU, Voronez, in Russian).Google Scholar