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Impulsive neutral functional differential equations in Banach spaces. (English) Zbl 1031.34079

Summary: Here, a fixed-point theorem due to Schaefer is used to investigate the existence of solutions for first- and second-order impulsive neutral functional-differential equations in Banach spaces.

MSC:

34K30 Functional-differential equations in abstract spaces
34K40 Neutral functional-differential equations
34K45 Functional-differential equations with impulses
Full Text: DOI

References:

[1] Bainov D.D., Systems with Impulsive Effect (1989)
[2] Benchohra M., Comput. Math. Appl
[3] Benchohra M., Pan Amer. Math. J.
[4] Benchohra M., J. Appl. Math. Stochastic Anal
[5] Erbe L.H., Pure and Applied Mathematics (1994)
[6] Hale J.K., Theory of Functional Differential Equations (1977) · Zbl 0352.34001
[7] DOI: 10.1142/9789812812841 · doi:10.1142/9789812812841
[8] Lakshmikantham V., Theory of Impulsive Differential Equations (1989) · Zbl 0718.34011
[9] Ntouyas S.K., Bull. Greek Math. Soc. 40 pp 3– (1998)
[10] DOI: 10.1142/9789812798664 · doi:10.1142/9789812798664
[11] DOI: 10.1007/BF01362380 · Zbl 0064.35703 · doi:10.1007/BF01362380
[12] Smart D.R., Fixed Point Theorems (1974) · Zbl 0297.47042
[13] Yosida K., Functional Analysis (1980) · Zbl 0830.46001 · doi:10.1007/978-3-642-61859-8
[14] DOI: 10.1006/jmaa.1997.5382 · Zbl 0878.34059 · doi:10.1006/jmaa.1997.5382
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