reaction diffusion equations with infinite delay

... Spatial Ecology via Reaction-Diffusion Equations Spatial Ecology via Reaction-Diffusion Equations R.S Cantrell and C Cosner c 2003 John Wiley ... Infectious Diseases: Model Building, Analysis and Interpretation CANTRELL/COSNER Spatial Ecology via Reaction-Diffusion Equations Reflecting the rapidly gorwing interest and research in the field of ... graduate students a...

Ngày tải lên: 23/03/2014, 01:20

... differential equations with variable delays Proc Am Math Soc 136, 909–918 (2008) 19 Ardjouni, A, Djoudi, A: Fixed points and stability in linear neutral differential equations with variable delays ... TA: Stability by fixed point theory or Liapunov’s theory: a comparison Fixed Point Theory 4, 15–32 (2003) 10 Zhang, B: Fixed points and stability in di...

Ngày tải lên: 20/06/2014, 22:20

... of impulsive difference equations with distributed delays By establishing an impulsive delay difference inequality and using the properties of “r-cone” and eigenspace of the spectral radius of ... doi:10.1186/1029-242X-2011-8 Cite this article as: Li et al.: Difference inequality for stability of impulsive difference equations with distributed delay...

Ngày tải lên: 21/06/2014, 03:20

... delay dynamic equations of first order,” Advances in Difference Equations, vol 2008, Article ID 458687, 12 pages, 2008 10 H A Agwo, “On the oscillation of first order delay dynamic equations with ... difference equations with several delays,” Advances in Dynamical Systems and Applications, vol 1, no 1, pp 29–47, 2006 M Bohner and A Peterson, Dynamic Equations on Time Sc...

Ngày tải lên: 21/06/2014, 11:20

... comparison,” Fixed Point Theory, vol 4, no 1, pp 15–32, 2003 B Zhang, Fixed points and stability in differential equations with variable delays,” Nonlinear Analysis: Theory, Methods and Applications, ... Becker and T A Burton, Stability, fixed points and inverses of delays,” Proceedings of the Royal Society of Edinburgh Section A, vol 136, no 2, pp 245–275, 2006 C Jin...

Ngày tải lên: 21/06/2014, 11:20

... Wang and T.-S Yeh, “Exact multiplicity of solutions and S-shaped bifurcation curves for the p-Laplacian perturbed Gelfand problem in one space variable,” Journal of Mathematical Analysis and Applications, ... theory,” Journal of Mathematical Analysis and Applications, vol 69, no 1, pp 131–145, 1979 14 S H Wang, “On S-shaped bifurcation curves,” Nonlinear Analysis: Theory, Methods...

Ngày tải lên: 21/06/2014, 16:20

... reaction-diffusion equations,” Archive for Rational Mechanics and Analysis, vol 129, no 1, pp 47–100, 1995 J.-S Guo, S Sasayama, and C.-J Wang, “Blowup rate estimate for a system of semilinear ... North-Holland, Amsterdam, The Netherlands, 1978 17 R Ferreira, “Numerical quenching for the semilinear heat equation with a singular absorption, ” Journal of Computational and...

Ngày tải lên: 21/06/2014, 16:20

... mathematicians who live in remote and inhospitable places, far from major research centers in the world, can also understand and enjoy the interior controllability with a minor effort 4 Boundary ... Lemma 2.1 Let Z be a Hilbert separable space and {Aj }j≥1 , {Pj }j≥1 two families of bounded linear operator in Z, with {Pj }j≥1 a family of complete orthogonal projection such...

Ngày tải lên: 21/06/2014, 20:20

... Volterra integral equation,” Fixed Point Theory and Applications, vol 2007, Article ID 57064, pages, 2007 J Luo, Fixed points and stability of neutral stochastic delay differential equations, ” ... Burton, Fixed points and stability of a nonconvolution equation,” Proceedings of the American Mathematical Society, vol 132, no 12, pp 3679–3687, 2004 T A Burton and T Fur...

Ngày tải lên: 21/06/2014, 23:20

... asymptotic properties of discrete Volterra equations, see In this paper, in order to obtain an existence theorem for an almost periodic solution of a discrete Volterra equations with unbounded delay, ... 1, pp 105–116, 1989 Y Song and H Tian, Periodic and almost periodic solutions of nonlinear discrete Volterra equations with unbounded delay,” Journ...

Ngày tải lên: 22/06/2014, 11:20

... stable if it is both stable and attractive One of the methods to establish stability of difference equations is based on a recursive form of these equations; see the monographs 1, The following ... n | ≤ γ Then 2.12 is exponentially stable Theorem 2.1 and its corollaries imply new explicit conditions of exponential stability for autonomous difference equations with sever...

Ngày tải lên: 22/06/2014, 11:20

... method for investigating the rate and profile of blowup of solutions of diffusion equations with nonlocal reaction terms He obtained the uniform blow-up rate and blowup profile for large classes of equations ... investigate problem with nonlocal source and nonlocal boundary, which is a combination of the work of [4] and that of [6–8, 12] Precisely, we are interested i...

Ngày tải lên: 22/06/2014, 19:20

... evolution equations, ” Journal of Evolution Equations, vol 3, no 2, pp 361–373, 2003 [10] W M Ruess, “Existence of solutions to partial functional evolution equations with delay,” in ´ Functional ... solutions to partial functional- differential equations with delay,” Advances in Differential Equations, vol 4, no 6, pp 843–876, 1999 Hassane Bouzahir 13 [12] W M Ruess, “...

Ngày tải lên: 22/06/2014, 22:20

... the behavior of solutions of linear neutral Volterra difference equations with infinite delay, and, especially, of linear (non-neutral) Volterra difference equations with infinite delay Our results ... Difference Equations and Applications 10 (2004), no 12, 1049–1067 , The behavior of solutions of linear Volterra difference equations with infinite delay, Com[32] puters & Ma...

Ngày tải lên: 22/06/2014, 22:20

... Analyticity and discrete maximal regularity on L p -spaces, Journal of Functional Analysis 183 (2001), no 1, 211–230 , Maximal regularity of discrete and continuous time evolution equations, Studia ... difference operator of the first Discrete maximal regularity Maximal regularity for retarded functional difference equations We get the following result about max...

Ngày tải lên: 22/06/2014, 22:20