global attractor for some partial functional diferential equations with finite delay

Báo cáo toán học: " Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions" ppt

... 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], for the p-Laplacian with nonlinear boundary ... p-Laplacian and nonlinear boundary condition Nonlinear Anal 71, 2447–2455 (2009) [38] Deng, SG, Wang, Q: Nonexistence, existence and multiplicity of positive solutions to the p(x)-Laplacian nonlinear Neumann...

Báo cáo hóa học: " New criteria for stability of neutral differential equations with variable delays by fixed points method" docx

... 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 differential equations with variable delays ... nonlinear differential equations with unbounded delays Georg Math J 13(1):25–34 (2006) doi:10.1186/1687-1847-2011-48 Cite this article as: Zhao: New criteria for stability of neutral differential equations...

Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx

... doi:10.1186/1687-2770-2011-33 Cite this article as: Zhang et al.: Infinitely many periodic solutions for some second-order differential systems with p(t)-Laplacian Boundary Value Problems 2011 2011:33 ... XJ, Yuan, R: Existence of periodic solutions for p(t)-Laplacian systems Nonlinear Anal 70, 866–880 (2009) doi:10.1016/j.na.2008.01.017 15 Bartsch, T: Infinitely many solutions of a symmetic Dirchlet ... [15,16], and both theorems are effective tools for studying the existence of infinitely many large energy solutions and small energy solutions When we impose some suitable conditions on the growth of...

báo cáo hóa học: " Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions" doc

... 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 equation with applications to Saint-Venant ... parabolic equations with nonlinear boundary conditions, (see also [16,17]) Under nonlinear dissipative feedbacks on the boundary, Nouria [18] proved a polynomial stability for regular initial...

Báo cáo hóa học: " Difference inequality for stability of impulsive difference equations with distributed delays" pdf

... 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 delays Journal of Inequalities and Applications 2011 2011:8 ... conditions for global exponential stability of the impulsive difference equations with distributed delays are obtained The conditions (A1)-(A5) are conservative For example, we get the absolute value of...

Báo cáo hóa học: " Research Article Three Solutions for Forced Dufﬁng-Type Equations with Damping Term" docx

... λ∗ > 0, for every λ ∈ −λ∗ , λ∗ , problem admits at least three distinct solutions Example 4.2 Let λ From Example 4.1, we can obtain that the following resonant Duﬃngtype equations with damping: ... r > such that, for every λ ∈ −λ∗ , λ∗ , problem 1.1 admits at least three distinct solutions which belong to B 0, r ⊆ H Furthermore, problem 1.2 admits at least three distinct solutions Corollary ... r > such that, for every λ ∈ −λ∗ , λ∗ , problem 1.1 admits at least three distinct solutions which belong to B 0, r ⊆ H Furthermore, problem 1.2 admits at least three distinct solutions Some...

Báo cáo sinh học: " Research Article Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions" docx

... studies the existence and uniqueness of solutions for nonlinear integro-differential equations of fractional order q ∈ 1, with three-point nonlocal fractional boundary conditions involving the fractional ... J Nieto, Existence of solutions for nonlocal boundary value problems of higherorder nonlinear fractional differential equations, ” Abstract and Applied Analysis, vol 2009, Article ID 494720, pages, ... uniqueness of mild solutions to impulsive fractional differential equations, ” Nonlinear Analysis: Theory, Methods & Applications, vol 72, no 3-4, pp 1604–1615, 2010 11 B Ahmad, Existence of solutions for...

Báo cáo hóa học: " Research Article Eigenvalue Problems for p-Laplacian Functional Dynamic Equations on Time Scales" pot

... extensively, for example, see 1–4 and references therein However, there are not many concerning the pLaplacian problems on time scales, especially for p-Laplacian functional dynamic equations on time ... and obtained suﬃcient conditions for the existence of positive solutions, Li and Liu 10 studied the eigenvalue problem for second-order nonlinear dynamic equations on time scales In this paper, ... Eigenvalue problems for second-order nonlinear dynamic equations on time scales,” Journal of Mathematical Analysis and Applications, vol 318, no 2, pp 578–592, 2006 11 M Bohner and A Peterson,...

Báo cáo hóa học: " Research Article Semigroup Approach to Semilinear Partial Functional Differential Equations with Infinite Delay" docx

... 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, “Existence of solutions to partial ... Ezzinbi, “Global attractor for a class of partial functional differential equations with infinite delay,” in Topics in Functional Differential and Difference Equations (Lisbon, 1999), T Faria and P...

Báo cáo hóa học: "A NOTE ON DISCRETE MAXIMAL REGULARITY FOR FUNCTIONAL DIFFERENCE EQUATIONS WITH INFINITE DELAY" potx

... 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 maximal regularity of (1.1) Theorem 3.1 ... difference equations in phase spaces The results in [16] are based on a representation formula for solutions of nonhomogeneous linear functional difference equations As application of the general...

Báo cáo hóa học: "Research Article Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay" pdf

... purposes and some stability deﬁnitions of a bounded solution of (1.1) In Section 3, we discuss the existence of periodic solutions of (1.1) In Section 4, we discuss the existence of almost periodic solutions ... proof of Theorem 3.4, we can show that { p(n)} is an ω -periodic solution of (3.1) Almost periodic systems In this section, we discuss the existence of asymptotically almost periodic solutions of ... 174–194, 2006 [16] Y Song and H Tian, Periodic and almost periodic solutions of nonlinear Volterra diﬀerence equations with unbounded delay,” to appear in Journal of Computational and Applied Mathematics...

Báo cáo hóa học: " EXISTENCE RESULTS FOR SEMILINEAR PERTURBED FUNCTIONAL DIFFERENTIAL EQUATIONS WITH NONDENSELY DEFINED OPERATORS" docx

... 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 compact in E for every ε, < ... 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) is called strictly monotone decreasing in x a.e for t ∈ J, if f (t,x) ≥ f (t, y) a.e t ∈ J for all...

Báo cáo toán học: "Applying Fixed Point Theory to the Initial Value Problem for the Functional Diﬀerential Equations with Finite Delay " pot

... real-valued function, the functions Q : R × R → R and G : R × R × R → R are continuous In the process, the authors used Fixed Point Theory for the Functional Differential Equations with Finite Delay ... (v(t), vt )| < t∈[0,∞) (5.4) Fixed Point Theory for the Functional Differential Equations with Finite Delay 59 Finally, we need only to prove that for each h with ||h|| < , the following equation has ... need to show that b = n (2.12) Fixed Point Theory for the Functional Differential Equations with Finite Delay 51 We suppose by contradiction that b < n Since g is locally Lipschitzian in the second...

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

... 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 functional differential equations, Appl ... Myshkis, Applied theory of functional differential equations, Springer, 1992 [10] U K¨ uchler, E Platen, Strong discrete time approximation of stochastic differential equations with time delay, Math...

GLOBAL ATTRACTOR FOR A SEMILINEAR STRONGLY DEGENERATE PARABOLIC EQUATION ON R N

... attractor for a semilinear degenerate parabolic equation, Electron J Differ Equ 61 (2009), 1-13 [3] C.T Anh and L.T Tuyet, Strong solutions to a strongly degenerate semilinear parabolic equation, ... Phong, Global attractor for a semilinear parabolic equation involving Grushin operator, Electron J Differ Equ 32 (2008), 1-11 [2] C.T Anh and T.D Ke, Existence and continuity of global attractor ... Geometric Theory of Semilinear Parabolic Equations, Lecture Notes Math., Vol 840, Springer, Berlin, 1981 [12] A. E Kogoj and E Lanconelli, On semilinear ∆λ -Laplace equation, Nonlinear Anal 75 (2012),...

Xem thêm