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Ganesan Arthi,Krishnan Balachandran 대한수학회 2011 대한수학회보 Vol.48 No.6
The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with state-dependent delay. Sufficient conditions are formulated and the results are established by using a fixed point approach and the cosine function theory. Finally examples are presented to illustrate the theory. The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with state-dependent delay. Sufficient conditions are formulated and the results are established by using a fixed point approach and the cosine function theory. Finally examples are presented to illustrate the theory.
Arthi, Ganesan,Balachandran, Krishnan Korean Mathematical Society 2011 대한수학회보 Vol.48 No.6
The purpose of this paper is to investigate the controllability of certain types of second order nonlinear impulsive systems with statedependent delay. Sufficient conditions are formulated and the results are established by using a fixed point approach and the cosine function theory Finally examples are presented to illustrate the theory.
Aziz Muhammad Safwan,Islam Shumaila,Rosli Muhammad Izz,Basar Norazah,Krishnan Ganesan,Duralim Maisarah,Harun Sulaiman Wadi 한국물리학회 2022 Current Applied Physics Vol.39 No.-
Nonlinear optical properties of Coumarin-based compounds i.e., 3-acetyl-7-iethylaminocoumarin (C3) and 7-Ethylamino-4-trifluoromethylcoumarin (C500) is reported by Z-scan technique (Nd: YAG Continuous-wave 532 nm). The conventional C500 compound exhibited NLR properties in the order of n2 = 10–9, whereas the synthesized C3 compound manifested both NLR and NLA properties around n2 = 10–9 and β = 10–4, respectively. The results are obtained from different laser power PC500 = 0.10–0.18 W, while PC3 = 0.20–0.28 W. Both compounds provided excellent NLO attributes at consistent and stable outputs of open and closed-aperture signals, resulted in eminence of NLR and NLA values. The C3 compound is manifested reverse saturable absorption, optical limiting properties, and threshold at 0.3814 W. The exclusivity of NLR in C500 makes it suitable to develop as an optical switcher while synthesized C3 compound is more suitable as an optical limiter for safety.