Nonlinear schrodinger equations with variable coefficients

... this thesis, we focus on the cubic nonlinear Schr¨dinger equations (NLS) with o variable coefficients First, we consider the Cauchy problem for the vector-valued NLS with space- and time-dependent ... references therein for more details Recently, considerable interest on Schr¨dinger type equations with variable o coefficients has arisen among both mathematicians and physicists, an...

Ngày tải lên: 17/09/2015, 17:18

... Krasnosel´kii, Topological methods in the theory of nonlinear integral equations, Pergamon Press, Oxford, (1964) [6] I.V Skrypnik, Nonlinear Higher Order Elliptic Equations (in Russian), Noukova Dumka ... have the conclusion that the sequence (3.10) {u m } m converges to u in X k Thus, Tk is of class ( S )+ in X k Next we calculate the topological degree of the operat...

Ngày tải lên: 22/07/2014, 10:21

... 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

Ngày tải lên: 22/03/2014, 11:20

... 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

... Netherlands, 2003 R P Agarwal, M F Khan, D O’Regan, and Salahuddin, “On generalized multivalued nonlinear variational-like inclusions with fuzzy mappings, ” Advances in Nonlinear Variational Inequalities, ... Huang, and S M Kang, Generalized strongly nonlinear implicit quasivariational inequalities for fuzzy mappings, ” in Set Valued Mappings with Applications in N...

Ngày tải lên: 21/06/2014, 07:20

... to nonlinear evolution equations, ” Journal of the Mathematical Society of Japan, vol 30, no 4, pp 747–762, 1978 14 Y Ye, “Existence of global solutions for some nonlinear hyperbolic equation with ... equation with a nonlinear dissipative term,” Journal of Zhengzhou University, vol 29, no 3, pp 18–23, 1997 15 Y Ye, “On the decay of solutions for some nonlinea...

Ngày tải lên: 21/06/2014, 11:20

... 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

... m-accretive mapping, then the problem 1.2 reduces to the following generalized nonlinear random multivalued operator equation involving generalized maccretive mapping in Banach spaces Find x, v : ... the general nonlinear random equation with multivalued operator involving generalized m-accretive mapping in Banach spaces Some special cases of the problem 1.2 are as...

Ngày tải lên: 22/06/2014, 02:20

... (2.15) A remark on linear functional equations An application Let S be the space of all continuous functions which map the interval (−∞, ∞) one-toone onto itself Let the canonical function be X(x) ... 2 A remark on linear functional equations It is easy to show that H ∈ S The set S with the operation of multiplication ◦ forms a noncommutative group Ᏻ, where the canonical...

Ngày tải lên: 22/06/2014, 22:20

... of Stability radius for difference equation in lp In Section we prove a formula for computing the lp− stability radius Stability radius for difference equation We now establish a formulation for ... (6) m We are now in position to give a formula for stability radii for difference equation Now let the unique solution to the initial value problem for (4) with initia...

Ngày tải lên: 22/03/2014, 11:20

... Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions Erlin Guo∗ and Peihao Zhao School of Mathematics and Statistics, ... years, for example, for the Laplacian with nonlinear boundary conditions see [26–30], for elliptic systems with nonlinear boundary conditions see [31, 32],...

Ngày tải lên: 20/06/2014, 21:20

... this article as: Tahamtani and Peyravi: Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions Boundary Value Problems 2011 2011:19 Submit your manuscript ... Qualitative Estimates for Partial Differential Equations, An Introduction CRC Press, Roca Raton (1996) Horgan, CO: Decay estimates for the biharmonic equat...

Ngày tải lên: 21/06/2014, 00:20

... Messaoudi, SA, Tatar, N-E: Exponential and polynomial decay for a quasilinear viscoelastic problem Nonlinear Anal 68, 785–793 (2007) Messaoudi, SA: General decay of solutions of a viscoelastic ... for b = and b = and for a wider class of relaxation functions He established a more general decay result, for which the usual exponential and polynomi...

Ngày tải lên: 21/06/2014, 00:20

... time behavior of solutions of a semilinear parabolic equation with a nonlinear dynamical boundary condition,” in Topics in Nonlinear Analysis, vol 35 of Progr Nonlinear Differential Equations Appl., ... Cavalcanti, V N D Cavalcanti, R Fukuoka, and J A Soriano, “Asymptotic stability of the wave equation on compact surfaces and locally distributed damping a sha...

Ngày tải lên: 21/06/2014, 11:20