About differential inequalities for nonlocal boundary value problems with impulsive delay equations
Alexander Domoshnitsky; Irina Volinsky
Mathematica Bohemica (2015)
- Volume: 140, Issue: 2, page 121-128
- ISSN: 0862-7959
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top- Agarwal, R. P., Berezansky, L., Braverman, E., Domoshnitsky, A., Nonoscillation Theory of Functional Differential Equations with Applications, Springer Berlin (2012). (2012) Zbl1253.34002MR2908263
- Ashordia, M., Criteria of correctness of linear boundary value problems for systems of generalized ordinary differential equations, Czech. Math. J. 46 (1996), 385-404. (1996) Zbl0879.34037MR1408294
- Azbelev, N. V., Maksimov, V. P., Rakhmatullina, L. F., Introduction to the Theory of Linear Functional-Differential Equations. Methods and Applications, Advanced Series in Mathematical Science and Engineering 3 World Federation Publishers, Atlanta (1995). (1995) MR1422013
- Benchohra, M., Henderson, J., Ntouyas, S. K., Impulsive Differential Equations and Inclusions, Contemporary Mathematics and Its Applications 2 Hindawi Publishing, New York (2006). (2006) Zbl1130.34003MR2322133
- Benchohra, M., Henderson, J., Ntouyas, S. K., 10.1016/S0898-1221(01)00241-3, Comput. Math. Appl. 42 (2001), 1303-1310. (2001) Zbl1005.34069MR1861529DOI10.1016/S0898-1221(01)00241-3
- Domoshnitsky, A., On periodic boundary value problem for first order impulsive functional-differential nonlinear equation, Funct. Differ. Equ. 4 (1997), 39-46. (1997) MR1491788
- Domoshnitsky, A., Drakhlin, M., 10.1006/jmaa.1997.5231, J. Math. Anal. Appl. 206 (1997), Article No. ay975231, 254-269. (1997) Zbl0870.34010MR1429290DOI10.1006/jmaa.1997.5231
- Domoshnitsky, A., Drakhlin, M., On boundary value problems for first order impulse functional-differential equations, Boundary Value Problems for Functional Differential Equations World Scientific Singapore (1995), 107-117 J. Henderson. (1995) Zbl0842.34063MR1375468
- Domoshnitsky, A., Drakhlin, M., Litsyn, E., On boundary value problems for -th order functional-differential equations with impulses, International Symposium on Differential Equations and Mathematical Physics, Tbilisi, 1997. Advances in Mathematical Sciences and Applications 8, 1998 987-996. Zbl0901.34065MR1657212
- Domoshnitsky, A., Drakhlin, M., Litsyn, E., On boundary value problems for -th order functional-differential equations with impulses, Mem. Differ. Equ. Math. Phys. 12 (1997), 50-56. (1997) Zbl0901.34065MR1636857
- Domoshnitsky, A., Volinsky, I., About positivity of Green's functions for nonlocal boundary value problems with impulsive delay equations, TSWJ: Mathematical Analysis 2014 Article ID 978519, 13 pages (2014). (2014) MR3368488
- Domoshnitsky, A., Volinsky, I., Shklyar, R., About Green's functions for impulsive differential equations, Funct. Differ. Equ. 20 (2013), 55-81. (2013) Zbl1318.34090MR3328886
- Fan, Z., Li, G., 10.1016/j.jfa.2009.10.023, J. Funct. Anal. 258 (2010), 1709-1727. (2010) Zbl1193.35099MR2566317DOI10.1016/j.jfa.2009.10.023
- Federson, M., Schwabik, Š., Generalized {ODE} approach to impulsive retarded functional differential equations, Differential Integral Equations 19 (2006), 1201-1234. (2006) Zbl1212.34251MR2278005
- Krasnosel'skii, M. A., Vainikko, G. M., Zabreiko, P. P., Rutitskii, J. B., Stezenko, V. J., Approximate Methods for Solving Operator Equations, Nauka Moskva (1969), Russian. (1969)
- Lakshmikantham, V., Bainov, D. D., Simeonov, P. S., Theory of Impulsive Differential Equations, Series in Modern Applied Mathematics 6 World Scientific, Singapore (1989). (1989) Zbl0719.34002MR1082551
- Li, J., Nieto, J. J., Shen, J., 10.1016/j.jmaa.2005.04.005, J. Math. Anal. Appl. 325 (2007), 226-236. (2007) Zbl1110.34019MR2273040DOI10.1016/j.jmaa.2005.04.005
- Nieto, J. J., Rodríguez-López, R., 10.1016/j.jmaa.2005.06.014, J. Math. Anal. Appl. 318 (2006), 593-610. (2006) Zbl1101.34051MR2215172DOI10.1016/j.jmaa.2005.06.014
- Pandit, S. G., Deo, S. G., 10.1007/BFb0067476, Lecture Notes in Mathematics 954 Springer, Berlin (1982). (1982) Zbl0539.34001MR0674119DOI10.1007/BFb0067476