LYAPUNOV FUNCTIONALS CONSTRUCTION FOR STOCHASTIC DIFFERENCE SECOND-KIND VOLTERRA EQUATIONS WITH doc

... summability, LYAPUNOV FUNCTIONALS CONSTRUCTION FOR STOCHASTIC DIFFERENCE SECOND-KIND VOLTERRA EQUATIONS WITH CONTINUOUS TIME LEONID SHAIKHET Received 4 August 2003 The general method of Lyapunov functionals construction ... solution of (1.2) can be reduce d to the construction of appropriate Lyapunov functionals. Below, some formal procedure of Lyapunov funct...

Ngày tải lên: 23/06/2014, 00:20

... [26–30], for elliptic systems with nonlinear boundary conditions see [31, 32], for the p-Laplacian with nonlinear boundary conditions of different type see [33–37], and for the p(x)-Laplacian with ... results for a quasilinear problem with nonlinear boundary condi- tion. J. Math. Anal. Appl. 244, 169–183 (2000) [35] Afrouzi, GA, Alizadeh, M: A quasilinearization method for p-...

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... stability for stochastic partial differential equations with delays by the fixed point method. Zhou and Zhong [15] study the exponential p-stability of neutral stochastic differential equations with ... Advances in Difference Equations 2011, 2011:48 http://www.advancesindifferenceequations.com/content/2011/1/48 Page 8 of 11 RESEARCH Open Access New criteria for stability o...

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... S: Qualitative Estimates for Partial Differential Equations, An Introduction. CRC Press, Roca Raton (1996) 7. Horgan, CO: Decay estimates for the biharmonic equation with applications to Saint-Venant ... [14] proved such results for some classes of heat conduction problems. In [15], Qu intanilla invest igate the spatial behavior of several nonlinear parabolic equations with no nl...

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... 2807–2813, 2010. 9 Y. Wang and W. Ge, “Periodic solutions for Duffing equations with a p-Laplacian-like operator,” Computers & Mathematics with Applications, vol. 52, no. 6-7, pp. 1079–1088, 2006. 10 ... rich behaviour of these equations, recently there have been also several studies on the synchronization of two coupled Duffing equations 3, 4. The most general forced form of...

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... differential equations with three-point boundary conditions,” Computers & Mathematics with Applicationsl, vol. 58, no. 9, pp. 1838–1843, 2009. 16 Z. Bai and H. L ¨ u, “Positive solutions for boundary ... Difference Equations Volume 2010, Article ID 691721, 10 pages doi:10.1155/2010/691721 Research Article Existence of Solutions for Nonlinear Fractional Integro-Differential Eq...

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... Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like Operators Hui-Sheng Ding, Guo-Rong Ye, and Wei Long College of Mathematics and Information Science, Jiangxi ... “Periodic solutions for nonlinear systems with p-Laplacian-like operators,” Journal of Differential Equations, vol. 145, no. 2, pp. 367–393, 1998. 6 Advances in Difference Equations...

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... equation. For the asymptotic properties of discrete Volterra equations, see 5. In this paper, in order to obtain an existence theorem for an almost periodic solution of a discrete Volterra equations ... existence of almost periodic solutions for nonlinear discrete Volterra equations with unbounded delay, as a discrete analogue of the results for integro-differential equ...

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... x a.e. for t ∈ J, if f (t,x) ≤ f (t, y)a.e.t ∈ J for all x, y ∈ X with x<y. Similarly, f (t,x)iscalledstrictly monotone decreasing in x a.e. for t ∈ J,if f (t,x) ≥ f (t, y)a.e.t ∈ J for all ... (ii) S  (t)iscompactfort>0 (so S  (t)iscontinuousintheuniformoperatortopology for t>0). Let 0 <t ≤ T be fixed and let  be a real number satisfying 0 <  <t.Fory ∈ B q ,w...

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... boundary value problems for systems of higher- order ordinary differential equations with singularities, Georgian Mathematical Journal 1 (1994), no. 1, 31–45. 10 Linear BVPs with strong singularities hold ... PROBLEMS FOR HIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONS WITH STRONG SINGULARITIES R. P. AGARWAL AND I. KIGURADZE Received 4 April 2004; Revised 11 Decembe r 2004; Accepted 1...

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