homogeneous partial differential equations with constant coefficients

... time-invarying differential-equations with respect to dynamic perturbations, J Differential Equations, 230 (2006) 579 [9] N.T Ha, B Rejanadit, N.V Sanh, N.H Du, Stability radii for implicit difference equations, ... < 0}, where we use the convention In0 = —oo 5 Stability radius of linear dynamic equations with constant coefficients on time scales Assume that the nominal equation a® = Aa (10) is uniformly ... of time-varying linear systems, J Differential Equations, 82 (1989) 219 [5] B Jacob, A formula for the stability radius of time-varying systems, J Differential Equations, 142 (1998) 167 [6] M Bracke,

Ngày tải lên: 22/03/2014, 11:20

... dynamic equations with constant coefficients on time scales Assume that the nominal equation rL:Ar is uniformly exponentially stable, where Consider the perturbed equation a ngdxd (K : ru : with ... Kaiserslautem 2000 (1999)379 t7l N H Du, Stability radii for differential-algebraic equations, Vietnam J Math.,2'l with respect to dynamic differential-equations linear time-invarying radii for Linh, Stability ... Science, Mathematics - Physics 26 (2010) 163-173 Stability Radius of Linear Dynamic Equations with Constant Coefficients on Time Scales , TDepartment Le Hong Lanl'*, Nguyen Chi LierrP of Basic

Ngày tải lên: 14/12/2017, 14:52

... projector of degree d on H (Cn ) is said to preserve homogeneous partial differential equations (HPDE) of degree k if for every f ∈ H (Cn ) and every homogeneous polynomial of degree k, q(z) = | |=k ... 135 (2005) 221 – 232 www.elsevier.com/locate/jat Polynomial projectors preserving homogeneous partial differential equations Dinh-D˜unga,∗ , Jean-Paul Calvib , Nguyên Tiên Trunga a Information Technology ... HPDE of degree k, k d, if and only if there are analytic functionals k , k+1 , , d ∈ H (Cn ) with i (1) = 0, i = k, , d, such that is represented in the following form (f ) = a (f )u + |

Ngày tải lên: 16/12/2017, 15:21

... hyperbolic partial differential equations with local conditions making use of the Banach fixed point theorem Some examples are presented to illustrate our results Keywords: Hyperbolic differential equations, ... especially partial differential equations When databases that are transformed from real life into mathematical models are incomplete or vague, we often use fuzzy partial differential equations ... fuzzy partial differential equations by using crisp solution and the extension principle Some other efforts have been recently made to find the numerical solutions for fuzzy partial differential equations

Ngày tải lên: 25/11/2020, 23:24

... almost periodic solution of second-order differential equations with. .. difference equations with piecewise constant arguments,” Acta Mathematica Sinica, vol 18, no 2, pp ... neutral delay- differential equations with piecewise. .. periodic solution of second order scalar functional differential equations with piecewise constant argument,” Journal ... differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, vol 41, no 7-8, pp 871–890, 2000 ... second-order differential equations with

Ngày tải lên: 21/06/2014, 20:20

... nonlinear 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 ´ ... 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

Ngày tải lên: 22/06/2014, 22:20

... of periodic solutions to differential equation with piecewise constant argument 1 Introduction In this note, we are concernded with differential equations with piecewise constant argument of the ... Seifert, Almost solutions of certaint Differential Equations with piecewise constant delays and almost periodic time dependence, Journal of Differential Equations 164, (2001), 451-458 | J H Shen ... Differential Equation” , Springer-Verlag, 1974 4) T Furumochi, T Naito and Nguyen Van Minh, Boundedness and almost pe- riodicity of solutions of partial fictional! differential equations, J Differential

Ngày tải lên: 11/03/2015, 07:57

... quasi-linear partial functional differential equations with unbounded delay, Funkcial Ek¨ ac 37 Ž1994., 329᎐343 10 H R Henriquez, Approximation of abstract functional differential equations ... for partial functional differential equations, Trans Amer Math Soc 200 Ž1974., 395᎐418 23 A Pazy, ‘‘Semigroups of Linear Operators and Applications to Partial Differential Equations, ... for partial functional differential equations, Dynam Systems Appl 7 Ž1998., 389᎐404 4 H Bouzahir and K Ezzinbi, Global attractor for a class of partial functional differential

Ngày tải lên: 29/10/2015, 14:19

... differential equations with deviating arguments Nonlinear Dyn Syst Theory 13(3), 242–257 (2013) Henriquez, H.R.: Periodic solutions of quasi-linear partial functional differential equations with ... Applications to Partial Differential Equations Springer, New-York (1993) 15 Travis, C.C., Webb, G.F.: Existence, stability and compactness in α-norm for partial functional differential equations Trans ... this work which focus on the non-autonomous partial neutral differential equations with finite delay, we denote by (X , ) the Banach space X endowed with the norm and L(X , Z ) the space of linear

Ngày tải lên: 10/03/2021, 15:55

... North America) t or n 846 Chapter 19 Partial Differential Equations Fluid Dynamics with Shocks As we alluded to earlier, the treatment of fluid dynamics problems with shocks has become a very complicated ... methods (cf §19.4), but they not work well for problems with discontinuities Ames, W.F 1977, Numerical Methods for Partial Differential Equations, 2nd ed (New York: Academic Press) [1] Richtmyer, ... as 840 Chapter 19 Partial Differential Equations Other Varieties of Error ξ = e−ik∆x + i − v∆t ∆x sin k∆x (19.1.25) An arbitrary initial wave packet is a superposition of modes with different k’s

Ngày tải lên: 07/11/2013, 19:15

... parabolic equations A Entropy and elliptic equations Definitions Estimates for equilibrium entropy production a A capacity estimate b A pointwise bound Harnack’s inequality B Entropy and parabolic equations ... Heating c Almost reversible cycles V Conservation laws and kinetic equations A Some physical PDE Compressible Euler equations a Equations of state b Conservation law form Boltzmann’s equation a ... work = force × distance pressure × volume power = rate of work Constants R = gas constant = 8.314 J · mol−1 · K −1 k = Boltzmann’s constant = 1.3806 × 10−23 J · K −1 NA = Avogadro’s number = R/k

Ngày tải lên: 17/03/2014, 14:29

... HARMONIC ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS BJ RN E J DAHLBERG CARLOS E KENIG ISSN 0347-2809 DEPARTMENT OF MATHEMATICS ... of the Dirichlet problem with data f , given in Theorem 3.3, then and u is the L1 kM (ru)kL1( ) C where C depends only on the Lipschitz constant of By adding a suitable constant to f , we may ... be the L2-solution of the Neumann problem with data an atom a, centred at Q0 @ Then, there exists a constant C , which depends only on the Lipschitz constants of D such that (a) (b) (c) Z @ kM

Ngày tải lên: 31/03/2014, 15:16

... Semigroups Parabolic Equations V Implicit Evolution Equations Introduction Regular Equations Pseudoparabolic Equations Degenerate Equations Examples ... partial di erential equations Chapters V and VI provide the immediate extensions to cover evolution equations of second order and of implicit type In addition to the classical heat and wave equations ... Approximation of Evolution Equations Introduction Regular Equations Sobolev Equations Degenerate Equations Examples

Ngày tải lên: 31/03/2014, 15:56

... Walther, HO, Wu, J: Functional differential equations with state-dependent delays: theory and applications Handbook of Differential Equations: Ordinary Differential Equations, vol III Elsevier/North-Holland, ... results on existence of solutions to first-order ordinary differential equations with deviated arguments Delay differential equations are included in our general framework, which even allows deviations ... the least (greatest) solution This seems to be a peculiar feature of equations with deviated arguments, see [1] for an example with a second-order equation Therefore, we are obliged to distinguish

Ngày tải lên: 20/06/2014, 20:20

... together with Sakthivel and Luo [11,12] investigate the asymptotic stability of the nonlinear impulsive stochastic differential equations and the impulsive stochastic partial differential equations with ... 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 multiple ... Difference Equations 2011, 2011:48 http://www.advancesindifferenceequations.com/content/2011/1/48 RESEARCH Open Access New criteria for stability of neutral differential equations with variable

Ngày tải lên: 20/06/2014, 22:20

... Difference Equations 2011, 2011:2 http://www.advancesindifferenceequations.com/content/2011/1/2 RESEARCH Open Access Positive solutions of the three-point boundary value problem for fractional-order differential ... al Advances in Difference Equations 2011, 2011:2 http://www.advancesindifferenceequations.com/content/2011/1/2 Page of 11 Examples Example 4.1 Consider the fractional differential equation C Dα ... positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument C Dα u(t) + a(t)f (u(θ (t))) = 0, < t < 1, u(0) = u (0) = 0,

Ngày tải lên: 21/06/2014, 03:20

... 16 pages doi:10.1155/2010/325415 Research Article Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions Huiwen Chen and Jianli Li Department of Mathematics, ... study the existence of n distinct pairs of nontrivial solutions for impulsive differential equations with Dirichlet boundary conditions by using variational methods and critical point theory Introduction ... impulsive differential equations In recent years, many researchers have used some fixed point theorems 6, , topological degree theory , and the method of lower and upper solutions with monotone iterative

Ngày tải lên: 21/06/2014, 11:20

... doi:10.1155/2010/862079 Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions Xingqiu Zhang1, and Yujun Cui3 Department of Mathematics, ... Lemma 2.4, there exist two constants < I1 < I2 such that I1 − t < x t < I − t , t ∈ 0, 3.2 Without loss of generality, we may assume that < I1 < < I2 This together with condition H implies that ... fourth-order differential equations with integral boundary conditions,” Journal of Computational and Applied Mathematics, vol 222, no 2, pp 561–573, 2008 14 C Corduneanu, Integral Equations and Applications,

Ngày tải lên: 21/06/2014, 11:20

... Difference Equations Volume 2010, Article ID 691721, 10 pages doi:10.1155/2010/691721 Research Article Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point ... on fractional differential equations, see 5–11 and the references therein. In this paper, we study the following nonlinear fractional integro-differential equations with three-point nonlocal ... differential equations,” Abstract and Applied Analysis, vol. 2009, Article ID 494720, 9 pages, 2009. 14 B. Ahmad and J. R. Graef, “Coupled systems of nonlinear fractional differential equations with

Ngày tải lên: 21/06/2014, 16:20

... doi:10.1155/2011/654871 Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian Meiqiang Feng School ... integral equations and their relation with boundary- value problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23. On the other hand, boundary-value problems with integral ... Differential Equations, vol 14, World Scientific, ı Singapore, 1995 6 J Yan, “Existence of positive periodic solutions of impulsive functional differential equations with two parameters,”

Ngày tải lên: 21/06/2014, 16:20