attrators for parametric delay differential equations without uniqueness and their upper semicontinuous behavious

... Journal of Science, Mathematics - Physics 23 (2007) 6 3-6 9 Main results 2.1 The uniformly stable of null solution of delay differential equations Let us consider the delay differential equations ... model of population, we will give the following results : a If the C0 - semigoup operator (T (t))t≥0 is uniformly bounded then the null solution of E...

Ngày tải lên: 22/03/2014, 11:20

... 42:1353-1363 Yang Ch, Zhai Ch, Yan J: Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument Nonlinear Anal 2006, 65:2013-2023 Jankowski ... article as: Wang et al.: Positive solutions of the three-point boundary value problem for fractional-order differential equations...

Ngày tải lên: 21/06/2014, 03:20

... Applied Mathematical Sciences, Springer, New York, NY, USA, 1977 A Bellen and M Zennaro, Numerical Methods for Delay Differential Equations, Numerical Mathematics and Scientific Computation, Oxford ... Chow and J Mallet-Paret, Singularly perturbed delay- differential equations, ” in Coupled Nonlinear Oscillators, J Chandra and A C Scott, Eds., pp 7–12, North-Holland, Amsterdam, The...

Ngày tải lên: 21/06/2014, 07:20

... Difference Equations 12 R Yuan, On the spectrum of almost periodic solution of second-order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, ... to: On the spectrum of almost periodic solution of second order scalar functional differential equations with piecewise constant argument”,” J...

Ngày tải lên: 21/06/2014, 20:20

... Podlubny, “Geometric and physical interpretation of fractional integration and fractional differentiation,” Fractional Calculus & Applied Analysis for Theory and Applications, vol 5, no 4, pp ... investigate the existence of solutions for boundary value problems with fractional order differential equations and nonlinear integral conditions of the form c Dr y t f t, y t for e...

Ngày tải lên: 21/06/2014, 20:20

... a second order delay equation is reduced to one first-order integrodifferential delay equation while in a second-order equation is reduced to a system of a nonlinear inequality and a linear delay ... Nonlinear Oscillations, D Van Nostrand, Princeton, NJ, USA, 1962 L Berezansky and E Braverman, “Nonoscillation of a second order linear delay differential equation with a middle term...

Ngày tải lên: 21/06/2014, 20:20

... cell radius determination problem in WCDMA networks In Section we propose the heuristics for solving the problem, and in Section we show the performance of the heuristics proposed by performing ... 0.88 0.88 Log normal fading margin (dB) UL intercell interference ratio DL intercell interference ratio Sectors Fast fading margin (dB) Soft handover gain Interference margin...

Ngày tải lên: 21/06/2014, 23:20

... increases for any fixed ε Tables and thus verify the ε-uniform convergence of the numerical solutions and the computed rates are in agreement with our theoretical analysis Advances in Difference Equations ... priori and depend of the parameter ε, the problem data and the number of corresponding mesh points In the direction of numerical treatment for first-order singularly perturbed d...

Ngày tải lên: 22/06/2014, 11:20

... Proof By the continuation of solutions and the singularity of ᏷ at the point P0 , the set ᏷(P0 ) = ∅ Taking into account the nature of the vector field and the definition of the singularity of ... ,ρ0 ) ∈ E ⊆ ∂ω and the family ᐄ(P0 ) of all noncontinuable solutions of the initial value problem (2.6) By the continuity of the nonlinearity and the nature of the vector...

Ngày tải lên: 22/06/2014, 22:20

... Difference equations with continuous variable Philos [11], Kordonis et al [6], and Philos and Purnaras [12] For some related results, we refer to Graef and Qian [5] Moreover, the discrete analogues ... analogous results for the case of difference equations with continuous variable In this paper, we give an asymptotic criterion for the solutions of some li...

Ngày tải lên: 23/06/2014, 00:20

... differential equations with nonlinear boundary conditions, Appl Math Comput 153 (2004), no 3, 793– 802 T Jankowski, Monotone iterative technique for differential equations with nonlinear boundary conditions, ... conditions, Nonlinear Stud (2001), no 3, 381–388 , Ordinary differential equations with nonlinear boundary conditions, Georgian Math J (2002), no 2, 287–29...

Ngày tải lên: 23/06/2014, 00:20

... On a periodic-type boundary value problem for first-order nonlinear functional differential equations, Nonlinear Anal 51 (2002), no 3, 425–447 , On an antiperiodic type boundary value problem for ... 251–262 , Boundary Value Problems for Systems of Linear Functional Differential Equations, Folia Facultatis Scientiarium Naturalium Universitatis Masarykianae B...

Ngày tải lên: 23/06/2014, 00:20

... In this thesis we consider the development of numerical software for the solution of such problems Our discussion opens with a brief introduction to the theory of delay-differential equations ... 1.1.1 Introduction p Delay-differential equations In this thesis we are concerned with the numerical solution of delay-differential equations (DDE's) Delay-differ...

Ngày tải lên: 11/10/2014, 04:02

... appendix we give a formal proof of the result (1.1.3:14) For any given time let the order of continuity of the component y i be Zi Our task is thus to obtain a set of lower bounds {c i : > ci ... construction C', co Cl = Applied to the error term (6) we then obtain — = - 0(hP+2) as required Thus the order of the effect of the spurious discontinuity at t = is one less...

Ngày tải lên: 11/10/2014, 04:03

... MULTISCALE METHODS AND ANALYSIS FOR HIGHLY OSCILLATORY DIFFERENTIAL EQUATIONS ZHAO XIAOFEI (B.Sc., Beijing Normal University, China) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR ... that z− (s) = z+ (s) for ≤ s ≤ τ in (2.4.2) from (2.4.5) and (2.4.10), and (2.4.16) and (2.4.18) for MDF and MDFA, respectively Thus the multiscale decompositions MDF and MDFA a...

Ngày tải lên: 09/09/2015, 11:23