Geodesic
Asymptotic Behavior of Solutions of a Nonlinear Generalized Pantograph Equation with Impulses
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3
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Sufficient conditions are obtained on the asymptotic behavior of solutions of the nonlinear generalized pantograph equation with impulses \begin{equation}\begin{cases} x'(t)+p(t)f(x(\alpha t-\tau))=0, t\geq t_{0}, \ t\neq t_{k},\\ x(t_{k})=b_{k}x(t^{-}_{k})+\frac{1-b_{k}}{\alpha}\int_{\alpha t_{k}-\tau}^{t_{k}}p\left(\frac{s+\tau}{\alpha}\right)f(x(s))ds, k=1,2,.... \end{cases} \end{equation}
Classification : 34K25, 34K45 
@article{BMMS_2014_37_3_a6,
     author = {Kaizhong Guan and Qisheng Wang},
     title = {Asymptotic {Behavior} of {Solutions} of a {Nonlinear} {Generalized} {Pantograph} {Equation} with {Impulses}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a6/}
}
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VL  - 37
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a6/
ID  - BMMS_2014_37_3_a6
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%A Qisheng Wang
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%J Bulletin of the Malaysian Mathematical Society
%D 2014
%V 37
%N 3
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Kaizhong Guan; Qisheng Wang. Asymptotic Behavior of Solutions of a Nonlinear Generalized Pantograph Equation with Impulses. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2014_37_3_a6/