Existence of Positive Bounded Solutions of System of Three Dynamic Equations with Neutral Term on Time Scales

[1] BARTOSIEWICZ, Z.—PIOTROWSKA, E.: On stabilisability of nonlinear systems on time scales, Internat. J. Control 86 (2013), 139–145.10.1080/00207179.2012.721563Search in Google Scholar

[2] BOHNER, M.—PETERSON, A.: Dynamic equations on time scales. Birkhäuser, 2001.10.1007/978-1-4612-0201-1Open DOISearch in Google Scholar

[3] _____Advances in dynamic equations on time scales. Birkhäuser, 2003.Search in Google Scholar

[4] DENIZ, A.: Measurable theory on time scales. PhD Thesis, The Graduate School of Engineering and sciences of Izmir Institute of Technology, 2007.Search in Google Scholar

[5] ERBE, L. H.—KONG, Q.—ZHANG, B. G.: Oscillation theory for functional differential equations. CRC Press, New York, 1995.Search in Google Scholar

[6] GUSEINOV, G. SH.: Integration on time scales. J. Math. Anal. Appl. 285 (2003), 107–127.Search in Google Scholar

[7] MIGDA, M.—SCHMEIDEL, E.—ZDANOWICZ, M.: Existence of nonoscillatory solutions for system of neutral difference equations, Appl. Anal. Discrete Math. 9 (2015), 271–284.10.2298/AADM150811016MSearch in Google Scholar

[8] PÖTZSCHE, C.—SIEGMUND, S.—WIRTH, F.: A spectral characterization of exponential stability for linear time-invariant systems on time scales, Discrete Contin. Dyn. Syst. 9 (2003), 1223–1241.10.3934/dcds.2003.9.1223Search in Google Scholar

[9] SCHMEIDEL, E.: Properties of solutions of system of difference equations with neutral term, Funct. Differ. Equ. 18 (2011), 287–296.Search in Google Scholar

[10] TAOUSSER, F. Z.—DEFOORT, M.—DJEMAI, M.: Stability analysis of a class of uncertain switched systems on time scale using Lyapunov functions, Nonlinear Anal.: Hybrid Systems 16 (2015), 13–23.Search in Google Scholar

[11] THANDAPANI, E.—KARUNAKARAN, R.—AROCKIASAMY, I. M.: Bounded non-oscillatory solutions of neutral type difference systems, Electron. J. Qual. Theory Differ Equ., Spec. Ed. I, 25 (2009), 1–8.Search in Google Scholar

[12] ZHU, Z. Q.—WANG, Q. R.: Existence of nonoscillatory solutions to neutral dynamic equations on time scales, J. Math. Anal. Appl. 335 (2007), 751–762.10.1016/j.jmaa.2007.02.008Search in Google Scholar