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1 Bibliography [1] Bahuguna D. and Agarwal S., Approximations of solutions to neutral functional differential equations with nonlocal history conditions, J. Math. Anal. Appl., Vol. 317, pp [2] Balchandran K. and Ilamaran S., Existence and uniqueness of mild and strong solutions of a semilinear evolution equation with nonlocal condition, Indian J. pure appl. Math, Vol.25 No. 4, pp [3] Balchandran K. and Chandrasekaran M., Existence of solutions of a delay differential equation with nonlocal condition, Indian J. pure appl. Math, Vol.27 No. 5, pp [4] Balachandran K. and Park J.Y., Marshal Anthoni S., Controllability of second order semilinear Volterra integrodifferential systems in Banach spaces. Bull.Korean Math. Soc., Vol 36, No.1, pp [5] Balachandran K. and Sakthivel R., Existence of solutions of neutral functional integrodifferential equation in Banach space, Proc. Indian Acad. Sci. Math. Sci. Vol 109, pp [6] Balachandran K., Sakthivel R. and Dauer J.P., Controllability of neutral functional integrodifferential systems in Banach spaces, Computers and Mathematics with Applications, Vol.39, pp
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4 BIBLIOGRAPHY 141 [22] Carothers N. L., Real Analysis, Cambridge University Press. [23] Corduneanu C., Integral equations and stability of feedback system, Academic Press, New York. [24] Dauer J.P. and Balachandran K., Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces, Journal of Mathematical Analysis and Applications, Vol.251, pp [25] Dauer J.P. and Mahmudov N.I., Remark on existence result for second order evolution equations, International J. Pure Appl. Math, Vol.12 No.4, pp [26] Deng K., Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions, Analysis and Applications, Vol.179, pp Journal of Mathematical [27] Dhakne M.B. and Pachpatte B.G., On a general class of abstract functional integro-differential equations, Indian J. Pure Appl. Math, Vol.19 No.8, pp [28] Dhakne M.B. and Pachpatte B.G., On some abstract functional integrodifferential equations, Indian J. Pure Appl. Math, Vol. 22, pp [29] Dhakne M.B., Global existence of solutions of nonlinear functional integral equations, Indian Journal of Pure and Applied Mathematics, Vol 30, pp [30] Dhakne M.B. and Lamb G.B., Existence result for an abstract nonlinear integrodifferential equations, Ganit: J. Bangladesh Math.Soc., Vol.21, pp
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6 BIBLIOGRAPHY 143 [38] Dugundji J. and Granas A., Fixed Point Theory, Vol.1, Monografie Mathematyczno, PWN Warsaw. [39] Fu X. and Ezzinbi K., Existence of solutions for neutral functional differential evolution equations with nonlocal conditions, Nonlinear Anal., Vol 54, pp [40] Hale J., Theory of functional differential equations, Springer- Verlag, New York. [41] Hale J.K., Theory of differential equations, Holt. Rinehart and Winston, Inc., New York. [42] Hale, Jack K., Verduyn Lunel and Sjoerd M., Introduction to functional differential equations, Applied Mathematical Sciences, Springer-Verlag, New York. [43] Hernandez E.M. and Henriquez H.R., Existence results for partial neutral functional differential equations with unbounded delay, Journal of Mathematical Analysis and Applications, Vol.221, pp [44] Hernandez E.M., Existence results for partial neutral functional differential equations with nonlocal conditions, Cadernos De Mathematica, Vol.02, pp [45] Hernandez E., Existence results for a class of semi-linear evolution equations, Electron. J. Differential Equations, Vol 2001, pp [46] Hernandez E., Regularity of solutions of partial neutral functional differential equations with unbounded delay, Proyecciones, Vol 21 No.1 pp
7 BIBLIOGRAPHY 144 [47] Hernandez E.M. and Mc Kibben M.A., Some comments on : Existence of solutions of abstract nonlinear nonlinear second-order neutral functional differential equations, Computers and Mathematics with Applications, Vol.50, pp [48] Kavitha V., Mallika Arjunan M. and Ravichandran C., Existence results for impulsive systems with nonlocal conditions in Banach spaces, J. Nonlinear Sci. Appl., Vol.4 No.2, pp [49] Kucche K.D. and Dhakne M.B., Global existence for abstract Nonlinear Volterra-Fredholm functional integrodifferential equation, Demonstratio Mathematica, Vol.45 No.1, pp [50] Kurdila A. and Zabarankin M., Convex Functional Analysis, Birkhauser. [51] Ladas G.E. and Lakshmikantham V., Differential equations in abstract spaces, Academic Press, New York and London. [52] Liang J. and Xiao T., The Cauchy problem for nonlinear abstract functional differential equations with infinite delay, Computers and Mathematics with Applications, Vol.40, pp [53] Malar K., Existence of mild solutions for nonlocal integrodifferential equations with measure of noncompactness, International Journal of Mathematics and Scientific Computing, Vol.1, No.1, pp [54] Mazouzi S. and Tatar N.E., Global existence for some integrodifferential equations with delay subject to nonlocal conditions, Journal for Analysis and its Applications, Vol.21, No.1, pp
8 BIBLIOGRAPHY 145 [55] Ntouyas S.K., Global existence for neutral functional integrodifferential equations, Nonlinear Analysis: Theory, Methods and Applications, Vol.30, No.4, pp [56] Ntouyas S.K. and Tsamatos P.Ch., Global existence for semilinear evolution integrodifferential equation with delay and nonlocal conditions, Applicable Analysis, Vol.64, pp [57] Ntouyas S.K., Initial and Boundary value problems for functional differential equations via The Topological Transversality method : A Survey. Bull. Greek Math. Soc., Vol 40, pp [58] Ntouyas S.K. and Tsamatos P.Ch, Global existence for second order semilinear ordinary and delay integrodifferential equations with nonlocal conditions. Applicable Analysis, Vol 67, pp [59] Park J.Y., Balachandran K. and Arthi G., Controllability of impulsive neutral integrodifferential systems with infinite delay in Banach spaces, Nonlinear Analysis:Hybrid systems, Vol.03, pp [60] Pazy A., Semigroup of Linear Operators and Applications to Partial Differential Equations, Springer Verlag, New York. [61] Qixiang D., Zhenbin F. and Gang Li, Semilinear differential equations with nonlocal conditions in Banach spaces, International J. Nonlinear Science, Vol.2 No.3, pp [62] Qixiang D., Zhenbin F. and Gang Li, Existence of solutions to nonlocal neutral functional differential and integrodifferential equations, International Journal of Nonlinear Science, Vol.5 No.2, pp
9 BIBLIOGRAPHY 146 [63] Radhakrishnan B. and Balachandran K., Controllability of nonlocal impulsive functional integrodifferential evolution systems,j. Nonlinear Sci. Appl., Vol.4 No.4, pp [64] Runping Y. and Guowei Z., Neutral functional differential equations of second order with infinite delays, Elec.J.D.E., Vol 2010, No.36, pp [65] Sadovskii B.N., Fixed point principle, Funct. Anal. Appl., Vol 1 No.2, pp [66] Songmu Zheng, Nonlinear Evolution Equations, CHAPMAN AND HALL/CRC Monographs and Surveys in Pure and Applied Mathematics. [67] Syed A., Existence of solutions to fractional order ordinary and delay differential equations and applications,electronic journal of differential equations, Vol 2011 No.9, pp [68] Tidke H.L., On Global existence of solutions of abstract Nonlinear Mixed integrodifferential equation with nonlocal condition, Comm. on Applied Nonlinear Analysis, Vol.16 No.1, pp [69] Tidke H.L. and Dhakne M.B., Existence of solutions and controllability of nonlinear mixed integrodifferential equation with nonlocal condition, Applied Mathematics E-Notes, Vol.11 pp [70] Travis C.C. and Webb G.F., Compactness, regularity and uniform continuity properties of strongly continuous cosine families. Houston Journal of Mathematics, Vol 3, pp
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