Strong approximation for non Lipschitz stochastic functional differential equations with distributed delays

... results on existence of solutions for abstract measure functional differential equations There were some consideration on abstract measure delay differential equations [2] and perturbed abstract measure ... sufficient conditions for existence of solutions are less conservative An example is given to illustrate the effectiveness of our existence theorem of sol...

Ngày tải lên: 18/06/2014, 22:20

... 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

... Extremal solutions for certain type of fractional differential equations with maxima Rabha W Ibrahim Institute of Mathematical Sciences, University Malaya, ... the existence of extremal solutions for fractional differential equations with maxima Introduction Fractional calculus has become an exciting new mathematical method of solution of diverse problems...

Ngày tải lên: 21/06/2014, 17:20

... 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

... even in the case when h t ≤ g t for t ∈ 0, ∞ Maximum Boundaries Principles in Existence and Uniqueness of Boundary Value Problems Consider the boundary value problems of the following type Mx ... Domoshnitsky, Maximum principles and boundary value problems, mathematical models in engineering, biology and medicine,” in Proceedings of the International Conference...

Ngày tải lên: 22/06/2014, 03:20

... growth of the nonlinearity of f (t, p) in p Inspired by [21, 24, 25], in this paper, we investigate the following second-order impulsive nonlinear differential equations with periodic boundary value ... for second order impulsive differential equations, ” Applied Mathematics and Computation, vol 114, no 1, pp 51–59, 2000 [17] L Chen and J Sun, Nonlinear boundary...

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

... dense in C([0,1], R) with the sup-norm See [5] for more examples and remarks concerning nondensely defined operators Recently, evolution functional differential equations with nondensely defined linear ... ϕq (s)ds (3.19) Perturbed functional differential equations and now since S (t) is a compact operator for t > 0, the set Yε (t) = {Fε (y)(t) : y ∈ Bq } is relatively compa...

Ngày tải lên: 22/06/2014, 22:20

... linear functional- differential equations, Arch Math (Brno) 33 (1997), no 3, 197–212 , Boundary Value Problems for Systems of Linear Functional Differential Equations, Folia Facultatis Scientiarium ... Kiguradze and B Puˇ a, On boundary value problems for systems of linear functional- differential equations, Czechoslovak Math J 47(122) (1997), no 2, 341–373 , On pe...

Ngày tải lên: 23/06/2014, 00:20

... convergence of strong error of EM type approximation schemes for stochastic functional differential equations, e.g in [10], [13], [12], [1], [7], [8] for stochastic differential delay equations, ... functional differential equations with distributed memory term, Monte Carlo Methods Appl 3-4 (2004) 235-244 [3] E Buckwar, One-step approximations for stochastic...

Ngày tải lên: 14/10/2015, 07:55

... Ezzinbi, Global attractor for a class of partial functional differential equations with infinite delay, in ‘‘Topics in Functional Differential and Difference Equations ’ ŽP Freitas and T Faria, Eds ... with infinite delay, J Nonlinear Anal., in press M Adimy, H Bouzahir, and K Ezzinbi, Local existence and stability for a class of partial functional di...

Ngày tải lên: 29/10/2015, 14:19

... reaction–diffusion equations with delays, J Math Anal Appl 281 (2003) 439–453 [15] V.V Chepyzhov, S Gatti, M Grasselli, A Miranville, V Patta, Trajectory and global attractors for evolutions equations with ... trajectory and global attractors for heat equations with linear fading memory and with nonlinear heat sources In [12], a linear integro -differential equation f...

Ngày tải lên: 29/10/2015, 14:20

... non-autonomous attractors for differential equations with delays, J Differential Equations 208 (1) (2005) 9–41 [10] T Caraballo, J Real, Attractors for 2D-Navier–Stokes models with delays, J Differential Equations ... a metric space X with center y and radius r, and P (X) the non-empty subsets of X 2.1 Solutions for delay differential equations Delay differe...

Ngày tải lên: 29/10/2015, 14:20