Otwarty dostęp

Nonlinear Second Order Impulsive Difference Equations and their Oscillation Properties

Tatra Mountains Mathematical Publications's Cover Image
Tatra Mountains Mathematical Publications
Real Functions, Dynamical Systems and their Applications

Zacytuj

[1] AGARWAL, R. P.—BOHNER, M.—GRACE, S. R.—O’REGAN, D.: Discrete Oscillation Theory. Hindawi Publ. Corp., New York, 2005.10.1155/9789775945198Search in Google Scholar

[2] BURNSIDE, W. S.—PANTON, A. W.: The Theory of Equations.3rd Ed. S. Chand and Company L.t.d., New Delhi, 1979.Search in Google Scholar

[3] KARAKOC, F.: Oscillation of a first order linear impulsive delay differential equation with continuous and piecewise constant arguments, Hacet. J. Math. Stat. 47 (2018), 601–613.Search in Google Scholar

[4] LAKSHMIKANTHAM, V.—BAINOV, D. D.—SIMIEONOV, P. S.: Oscillation Theory of Impulsive Differential Equations. World Scientific, Singapore, 1989.10.1142/0906Search in Google Scholar

[5] LI, Q. L.—ZHANG, Z. G.—GOU, F.—LIANG, H. Y.: Oscillation criteria for third-order difference equations with impulses, J. Comput. Appl. Math. 225 (2009), 80–86.10.1016/j.cam.2008.07.002Search in Google Scholar

[6] LU, W.—GE, W. G.—ZHAO, Z. H.: Oscillatory criteria for third-order nonlinear difference equations with impulses, J. Comput. Appl. Math. 234 (2010), 3366–3372.10.1016/j.cam.2010.04.037Search in Google Scholar

[7] OZTEPE, G. S.: Existance and qualitative properties of solutions of a second order mixed type impulsive differential equation with piecewise constant arguments, Hacet. J. Math. Stat. 46 (2017), 1077–1091.Search in Google Scholar

[8] PENG, M.: Oscillation theorems for second-order nonlinear neutral delay difference equations with impulses, Comput. Math. Appl. 44 (2002), 741–749.10.1016/S0898-1221(02)00187-6Search in Google Scholar

[9] PENG, M.: Oscillation criteria for second-order impulsive delay difference equations, Appl. Math. Comput. 146 (2003), 227–235.Search in Google Scholar

[10] STAMOVA, I.—STAMOV, G.: Applied Impulsive Mathematical Models. CMS Books in Mathematics, Springer [Cham], Switzerland, 2016.10.1007/978-3-319-28061-5Search in Google Scholar

[11] TRIPATHY, A. K.: On the oscillation of second order nonlinear neutral delay difference equations, Electron. J. Qual. Theory Differ. Equ., 11 (2008), 1–12.10.14232/ejqtde.2008.1.11Search in Google Scholar

[12] TRIPATHY, A. K.—PANIGRAHI, S.: On the oscillatory behaviour of a class of nonlinear delay difference equations of second order, Indian J. Pure Appl. Math., 42 (2011), 27–40.10.1007/s13226-011-0002-zSearch in Google Scholar

[13] TRIPATHY, A. K.: Oscillation criteria for a class of first order neutral impulsive differential-difference equations, J. Appl. Anal. Comput. 4 (2014), 89–101.Search in Google Scholar

[14] TRIPATHY, A. K.—CHHATRIA, G. N.: Oscillation criteria for forced first order nonlinear neutral impulsive difference system, Tatra Mt. Math. Publ., 71 (2018), 175–193.Search in Google Scholar

[15] TRIPATHY, A. K.—CHHATRIA, G. N.: On oscillatory first order neutral impulsive difference equations, Math. Bohem. (2019), http://doi.org/10.21136/MB.2019.0002-1810.21136/MB.2019.0002-18Search in Google Scholar

[16] WEI, G. P.: The persistance of nonoscillatory solutions of difference equation under impulsive perturbations, Comput. Math. Appl. 50 (2005), 1579–1586.10.1016/j.camwa.2005.08.025Search in Google Scholar

[17] ZHANG, H.—CHEN, L.: Oscillations criteria for a class of second-order impulsive delay difference equations, Adv. Complex Syst. 9 (2006), 69–76.10.1142/S0219525906000677Search in Google Scholar

eISSN:
1210-3195
Język:
Angielski
Częstotliwość wydawania:
3 razy w roku
Dziedziny czasopisma:
Mathematics, General Mathematics