 citations in SCIndeks: 0
 citations in CrossRef:0
 citations in Google Scholar:[]
 visits in previous 30 days:4
 fulltext downloads in 30 days:3


2013, vol. 17, iss. 1, pp. 5157

On the existence and uniqueness of solutions of boundary value problems for second order functional differential equations
Department of Mathematics, University of Athens, Panepistimiopolis, Athens, Greece
email: eathan@math.uoa.gr
Abstract
In this paper we study existence and uniqueness of solutions of boundary value problems for second order nonlinear delay differential equations. We transform the boundary value problem to an equivalent integral equation and then we use the Banach fixed point theorem and the notion of the Fréchet derivative.



References


Athanasiadou, E. (2013) On the continuous dependence of solutions of boundary value problems for delay differential equations. in press


Diekmann, O., Van, G.S.A., Lunel, V.S.M., Walther, H.O. (1995) Delay equations: Functionalcompolex and nonlinear analysis. New York


Driver, R.D. (1977) Ordinary and Delay Differential Equations. New York: SpringerVerlag


Hale, J. (2971) Functional differential. Berlin, itd: Springer Verlag


Jablonski, M., Twardowska, T. On Boundary Value problems for differential equations with a retarded argument. U. I. acta Math, XXVI: 2936


Jankowshi, T. (2003) Functional differential equations of seconf order. Bull. Belg. Math. Soc., (10): 291298


Peixuan, W. (1997) Boundary value problems for second order mixedtype functional differential equations. Applied MathematicsA Journal of Chinese Universities, 12(2): 155164


Skóra, L. (2012) Boundary value problems for second order delay differential equations. Opuscula Mathematica, 32(3): 551


Sun, W. (2010) Nonlinear boundary value problems for discontinuous delayed differential equations. Applied MathematicsA Journal of Chinese Universities, 25(1): 917


Wang, W., Shen, J., Luo, Z. (2008) Multipoint boundary value problems for secondorder functional differential equations. Computers & Mathematics with Applications, 56(8): 20652072



