On existence of mild and classical solutions of second order impulsive implicit differential equations

• Autorzy: Jain R. S. , Reddy B. S. , Kadam S. D.

Identyfikatory

DOI

10.1515/fascmath-2018-0018

• Języki publikacji: EN

Abstrakty

EN

In this paper, we establish the existence and uniqueness results of mild and classical solutions for impulsive implicit second order differential equations with nonlocal condition by using contraction principle. Furthermore, we give an example to illustrate our results.

Słowa kluczowe

EN

nonlocal condition; impulsive; differential equation

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2018
• Tom: Nr 61
• Strony: 71--81
• Opis fizyczny: Bibliogr. 14 poz.

Twórcy

autor

Jain R. S.

• School of Mathematical Sciences S. R. T. M. University Nanded-431 606, India

autor

Reddy B. S.

• School of Mathematical Sciences S. R. T. M. University Nanded-431 606

autor

Kadam S. D.

• School of Mathematical Sciences S. R. T. M. University Nanded-431 606, India

Bibliografia

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• [5] Hernandez M.E., A second order impulsive Cauchy problem, Cadernos de Mathematica, 2(2001), 299-238.
• [6] Jain R.S., Dhakne M.B., On impulsive nonlocal integro-differential equations with finite delay, International Journal of Mathematics Research, 5(4)(2013), 361-373.
• [7] Jain R.S., Dhakne M.B., On mild solutions of nonlocal semilinear impulsive functional integro-differential equations, Malaya Journel of Mathematik, 3(1)(2013), 27-33.
• [8] Jain R.S., Dhakne M.B., On mild solutions of nonlocal second order semilinear functional integro-differential equations, Fasciculi Mathemathici, 53(2014).
• [9] Lan H.-Y., Cvi Y.-S., Perturbation technique for a class of nonlinear implicit semilinear impulsive integro-differential equations of mixed type with noncompactness measure, Lan and Cul Advances in Difference Equations, 11(2015), DOI 10.1186/s13662-014-0329-y.
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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).