REFERENCES
[1] T. A. Burton, A fixed point theorem of Krasnoselskii, Appl. Math. Lett. 11 (1998), 83–88.
[2] B. C. Dhage, A nonlinear alternative with applications to nonlinear perturbed differential equations,
Nonlinear Studies 13 (4) (2006), 343–354.
[3] B. C. Dhage, A nonlinear alternative in Banach algebras with applications to functional differential
equations, Nonlinear Funct. Anal. & Appl. 8 (2004), 563–575.
[4] B. C. Dhage, Periodic boundary value problems of first order Carath´eodory and discontinuous
differential equations, Nonlinear Funct. Anal. & Appl. 13(2) (2008), 323–352.
[5] B. C. Dhage, Quadratic perturbations of periodic boundary value problems of second order
ordinary differential equations, Diff. Equ. & Appl. 2 (2010), 465–486.
[6] B. C. Dhage and N. S. Jadhav, Basic results on hybrid differential equations with linear perturbation
of second type, Tamkang J. Math. 44 (2) (2013), 171–186.
[7] B. C. Dhage and N. S. Jadhav, Differential inequalities and comparison theorems for nonlinear
first order volterra integro-differential equations, Adv. Math. Inequ. Appl. 2 (2013), 61–80.
[8] B. C. Dhage and V. Lakshmikantham, Basic results on hybrid differential equations, Nonlinear
Analysis: Hybrid Systems 4 (2010), 414–424.
[9] A. Granas and J. Dugundji, Fixed Point Theory, Springer-Verlag, New York, 2003.
[10] A.Granas, R. B. Guenther and J. W. Lee, Some general existence principles for Carath`eodory
theory of nonlinear differential equations, J. Math. Pures et Appl. 70 (1991), 153–196.
[11] S. Heikkil¨a and V. Lakshmikantham, Monotone Iterative Technique for Nonlinear Discontinues
Differential Equations, Marcel Dekker Inc., New York, 1994.
[12] M. A. Krasnoselskii, Topological Methods in the Theory of Nonlinear Integral Equations, Pergamon Press 1964.
[13] V. Lakshmikantham and S. Leela, Differential and Integral Inequalities, Academic Press, New York, 1969.
[14] V. Lakshmikantham and M. Rama Mohan Rao, Theory of Integro-Differential Equations, Gordon
and Breach Science Publishers, 1995.