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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

2 BIBLIOGRAPHY 139 [7] Balchandran K. and Chandrasekaran M., The nonlocal Cauchy problem for semilinear integrodifferential equations with deviating arguement, Proceedings of the Edinburg Mathematical Society, Vol.44, pp [8] Balchandran K. and Park J.Y., Existence of a mild solution of a functional integrodifferential equation with nonlocal condition, Bull. of Korean Math.Soc., Vol.38, pp [9] Balchandran K. and Park J.Y., Existence of solutions and controllability of nonlinear integrodifferential systems in Banach spaces, Mathematical Problems in Engineering, Vol.2, pp [10] Balachandran K., Park D.J. and Marshal Anthoni S., Existence of solutions of abstract nonlinear second order neutral functional integrodifferential equations, Computers and Mathematics with Applications, Vol 46, pp [11] Balchandran K. and Anandhi E.R., Controllability of neutral functional integrodifferential infinite delay systems in Banach spaces, Taiwanese Journal of Mathematics, Vol.8, No.4, pp [12] Balachandran K., Shija G. and Kim J.H., Existence of solutions of nonlinear abstract neutral integrodifferential equations, Computers and Mathematics with Applications, Vol.48, pp [13] Balachandran K., Park D.G. and Manimegalai P., Controllability of second order integrodifferential evolution systems in Banach spaces, Computers and Mathematics with Applications, Vol 49, pp

3 BIBLIOGRAPHY 140 [14] Banas J. and Goebel K., Measure of noncompactness in Banach spaces. Lecture Notes in Pure and Applied Math. Dekker, New York, Vol 60. [15] Benchohra M. and Ntouyas S.K., Nonlocal Cauchy problems for neutral functional Differential and integrodifferential inclusions, J. Math. Anal. Appl., Vol 258, pp [16] Benchohra M., Henderson J. and Ntouyas S.K., An existence result for first-order impulsive functional differential equations in Banach spaces, Computers and Mathematics with Applications, Vol 42, pp [17] Benchohra M. and Ntouyas S.K., Existence and controllability results for nonlinear differential inclusions with nonlocal conditions in Banach spaces, Journal of Applied Analysis, Vol 8, No.1, pp [18] Boulite S., Idrissi A. and Maniar L., Controllability of semilinear boundary problems with nonlocal initial conditions, J. Math. Anal. Appl., Vol.316, pp [19] Byszewski L., Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem, J. Math. Anal. Appl., Vol.162, pp [20] Byszewski L. and Akca H., On a mild solution of a semilinear functional-differential evolution nonlocal problem, J. Appl. Math. Stoc.Anal., Vol.10, pp [21] Byszewiski L. and Akca H., 1998 Existence of solutions of a semilinear functional-differential evolution nonlocal problem, Nonlinear Analysis, Vol.34, pp

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

5 BIBLIOGRAPHY 142 [31] Dhakne M.B. and Lamb G.B., On global existence of solutions of nonlinear integrodifferential equations in Banach spaces, Bulletin- Institute of Mathematics Academia Sinica, Vol. 30 No.1, pp [32] Dhakne M.B. and Kendre S.D., On Abstract Nonlinear Mixed Volterra-Fredholm Integro-Differential Equations, on Applied Nonlinear Analysis, Vol.13 No.4, pp Communications [33] Dhakne M.B. and Kendre S.D., Feb 4-6 (2008). On nonlinear mixed Volterra-Fredholm integrodifferential equations in Banach spaces,proceedings of the Fifteenth Ramanujan Symposium on Dynamic Equations, University of Madras, Chennai, pp [34] Dhakne M.B. and Kucche K.D., Existence of a mild solution of mixed Volterra-Fredholm functional integrodifferential equation with nonlocal condition, Applied Mathematical Sciences, Vol.5, No.8, pp [35] Dhakne P.M., On global existence of solutions of an abstract nonlinear functional integrodifferential equation, Int. J. of Math.Sci. & Engg.Appls.(IJMSEA), Vol.5 No.V, pp [36] Dhakne P.M., On global existence of solutions of an abstract nonlinear functional second order integrodifferential equation, Proceedings of the international conference on Mathematical Sciences in Honour of Prof.A.M. Mathai, Mahatma Gandhi University, Kottayam, pp [37] Diekmann O. and Gyllenberg M., Equations with infinite delay: Blending the abstract and the concrete, Journal of differential equations, Vol. 252, pp

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

10 BIBLIOGRAPHY 147 [71] Travis C.C. and Webb G.F., Cosine families and abstract nonlinear second order differential equations. Acta Mathematica Academiae Scientiarum Hungaricae, Vol 32, No.3-4, pp [72] Xue X., Nonlinear differential equations with nonlocal conditions in Banach spaces, Nonlinear Anal., Vol 63, pp [73] Xue X., Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces, Elec.J.D.E., Vol 64, pp. 1-7.

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