1 |
S. Ntouyas, Y. Sficas and P. Tsamatos, An existence principle for the boundary value problems for the second order functional differential equations, Nonlinear Anal. TMA, 20 (1993), 215-222.
DOI
ScienceOn
|
2 |
S. Ntouyas and P. Tsamatos, Initial and boundary value problems for functional integrodifferential equations, J. Appl. Math. Stoch. Anal., 7 (1994), 191-201.
DOI
ScienceOn
|
3 |
S. Ntouyas and P. Tsamatos, Global existence for functional integrodifferential equations of delay and neutral type, Applicable Anal., 54 (1994), 251-262.
DOI
|
4 |
S. Ntouyas and I. Purnaras, Existence results for mixed Volterra-Fredholm type neutral functional integrodifferential equations in Banach spaces, Nonlinear Stud., 16 (20, (2009), 135-148.
|
5 |
B. Pachpatte, Applications of the Leray-Schauder Alternative to some Volterra integral and integrodifferential equations, Indian J. pure appl. Math., 26 (1995), 1161-1168.
|
6 |
Y.V. Rogovchenko, Impulsive evolution systems: Main results and new trends, Dynam. Contin. Discrete Impuls. Syst., 3(1) (1997), 57-88.
|
7 |
Y.V. Rogovchenko, Nonlinear impulsive evolution systems and application to population models, J. Math. Anal. Appl., 207(2) (1997), 300-315.
DOI
ScienceOn
|
8 |
A. M. Samoilenko and N.A. Perestyuk; Impulsive Differential Equations, World Scientific, Singapore, 1995.
|
9 |
S. Sivasankaran, M. Mallika Arjunan and V. Vijayakumar, Existence of global solutions for second order impulsive abstract partial differential equations, Nonlinear Anal. TMA, 74(17) (2011), 6747-6757.
DOI
ScienceOn
|
10 |
S. Sivasankaran, M. Mallika Arjunan and V. Vijayakumar, Existence of global solutions for impulsive functional differential equations with nonlocal conditions, J. Nonlinear Sci. Appl., 4(2) (2011), 102-114.
|
11 |
S. Sivasankaran, V. Vijayakumar and M. Mallika Arjunan, Existence of global solutions for impulsive abstract partial neutral functional differential equations, Int. J. Nonlinear Sci., 11(4) (2011), 412-426.
|
12 |
H.L. Tidke and M.B. Dhakne, Global existence of mild solutions of second order nonlinear Volterra integrodifferential quations in Banach spaces, Diff. Equ. Dynam. Syst., 17(4) (2009), 331-342.
DOI
|
13 |
H.L. Tidke, Existence of global solutions to nonlinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions, Elect. J. Diff. Equ., 55 (2009), 17.
|
14 |
H.L. Tidke and M.B. Dhakne, Existence of solutions for nonlinear mixed type integrodifferential equation of second order, Surveys. Math. Appl., 5 (2010), 61-72.
|
15 |
V. Vijayakumar, S. Sivasankaran and M. Mallika Arjunan, Existence of global solutions for second order impulsive abstract functional integrodifferential equations, Dyn. Contin. Discrete Impuls. Syst., 18 (2011), 747-766.
|
16 |
V. Vijayakumar, S. Sivasankaran and M. Mallika Arjunan, Existence of solutions for double perturbed impulsive neutral functional evolution equations, J. KSIAM, 15(4) (2011), 253-265.
|
17 |
V. Vijayakumar, S. Sivasankaran and M. Mallika Arjunan, Existence of solutions for second order impulsive partial neutral functional integrodifferential equations with infinite delay, Nonlinear Stud., 19(2) (2012), 327-343.
|
18 |
V. Vijayakumar, S. Sivasankaran and M. Mallika Arjunan, Global existence for Volterra- Fredholm type neutral impulsive functional integrodifferential equations, Surveys. Math. Appl., 7 (2012), 49-68.
|
19 |
A. Anguraj and M. Mallika Arjunan, Existence of solutions for second order impulsive functional integrodifferential inclusions, For East J. Dynamical Systems, 9 (2), (2007), 265-278.
|
20 |
M. Benchohra, J. Henderson and S.K. Ntouyas, Impulsive Differential Equations and Inclusions, Hindawi Publishing Corporation, New York, 2006.
|
21 |
M. Benchohra and S.K. Ntouyas, Initial and boundary value problems for nonconvex valued multivalued functional differential equations, J. Appl. Math. Stoc. Anal., 16 (2), (2003), 191-200.
DOI
ScienceOn
|
22 |
Y. K. Chang and W. T. Li, Existence results for second order impulsive functional differential inclusions, J. Math. Anal. Appl., 301, (2005), 477-490.
DOI
ScienceOn
|
23 |
Y.K. Chang, V. Kavitha and M. Mallika Arjunan, Existence results for a second order impulsive functional differential equation with state-dependent delay, Diff. Equ. Appl., 1(3) (2009), 325-339.
|
24 |
Y.K. Chang, A. Anguraj and M. Mallika Arjunan, Existence results for impulsive neutral functional differential equations with infinite delay, Nonlinear Anal. Hybrid Systems, 2(1) (2008), 209-218.
|
25 |
M. Frigon and D. O. Regan, Boundary value problems for the second order impulsive differential equations using set-valued maps, Applicable Anal., 58 (1995), 325-333.
DOI
|
26 |
Y.K. Chang, V. Kavitha and M. Mallika Arjunan, Existence results for impulsive neutral differential and integrodifferential equations with nonlocal conditions via fractional operators, Nonlinear Anal. Hybrid Systems, 4(1) (2010), 32-43.
|
27 |
J.P.C. dos Santos, V. Vijayakumar and R. Murugesu, Existence of mild solutions for nonlocal cauchy problem for fractional neutral integro-differential equation with unbounded delay, Commun. Math. Anal., 14(1) (2013), 59-71.
|
28 |
J. Dugundji and A. Granas, Fixed point theory, Vol. 1, Matematyczne, PNW Warsawa, 1982.
|
29 |
E. Hern'andez, A second order impulsive Cauchy problem, Int. J. Math. Math. Sci., 31(8) (2002), 451-461.
DOI
ScienceOn
|
30 |
E. Hern'andez, H. R. Henriquez and M. A. McKibben, Existence results for abstract impulsive second-order neutral functional differential equations, Nonlinear Anal., 70 (2009), 2736-2751.
DOI
ScienceOn
|
31 |
E. Hern'andez, Existence results for partial neutral integrodifferential equations with nonlocal conditions, Dynam. Systems Appl., 11(2) (2002), 241-252.
|
32 |
H. R. Henriquez and C. H. V'asquez, Existence results for abstract impulsive second-order neutral functional differential equations, Nonlinear Anal., 70 (2009), 2736-2751.
DOI
ScienceOn
|
33 |
V. Laksmikantham, D. Bainov and P. S. Simenov, Theory of impulsive differential equations, Series in Modern Applied Mathematics, 6. World Scientific Publishing Co., Inc., Teaneck, NJ, 1989.
|
34 |
S. Ntouyas, Y. Sficas and P. Tsamatos, Existence results for initial value problems for neutral functional differential equations, J. Diff. Equ., 14 (1994), 527-537.
|