Accesso libero

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
INFORMAZIONI SU QUESTO ARTICOLO

Cita

[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
Lingua:
Inglese
Frequenza di pubblicazione:
3 volte all'anno
Argomenti della rivista:
Mathematics, General Mathematics