krein s method for wiener hopf equations

... follows In Section 2, we specify some hypotheses, precise sense of the weak solution, then we state the main results and some Lemmas that needed in the sequel In Section 3, by the Rothe–Galerkin method, ... problems were investigated In general, existence of solutions for a class of nonlinear evolution equations of second order is proved by studying a full discretization The article is organized as follows ... method, we construct approximate solutions to problem (P) Some a priori estimates for the approximations are derived In Section 4, we prove the main results Hypothesis and mean results To solve problem...

Ngày tải lên: 21/06/2014, 17:20

... projection methods Noor [4, 9] has used the Wiener- Hopf equations technique to study the sensitivity analysis and the dynamical systems as well as to suggest and analyze several iterative methods for solving ... iterative methods for solving the general variational inequalities in different directions References [1] G Stampacchia, “Formes bilin´ aires coercitives sur les ensembles convexes,” Comptes Rendus de ... Banach spaces E the set of all admissible elements is nonconvex but starshaped, corresponding variational formulations are no longer variational inequalities Using hemivariational inequalities, one...

Ngày tải lên: 22/06/2014, 06:20

... projection methods Noor [4, 9] has used the Wiener- Hopf equations technique to study the sensitivity analysis and the dynamical systems as well as to suggest and analyze several iterative methods for solving ... iterative methods for solving the general variational inequalities in different directions References [1] G Stampacchia, “Formes bilin´ aires coercitives sur les ensembles convexes,” Comptes Rendus de ... Banach spaces E the set of all admissible elements is nonconvex but starshaped, corresponding variational formulations are no longer variational inequalities Using hemivariational inequalities, one...

Ngày tải lên: 22/06/2014, 18:20

... Applications Substituting 2.22 into 2.21 , we have the following results: u1 x sin ax u2 x λ sin ax π/2a a λ cos ax sin at dt a π/2a cos ax sin ax λ sin ax a λ cos at dt cos ax sin at sin ax u3 x λ cos ... is T -stable Acknowledgments The authors would like to thank referees and area editor Professor Nan-jing Huang for giving useful comments and suggestions for the improvement of this paper This ... Analysis, Addison-Wesley, Reading, Mass, USA, 1969 ¨ 12 R Saadati, M Dehghan, S M Vaezpour, and M Saravi, “The convergence of He s variational iteration method for solving integral equations, ”...

Ngày tải lên: 21/06/2014, 20:20

... forms of the phase function for some typical cases in both SAR and ISAR systems (1) For nonmoving targets in SAR systems and for constant velocity targets in ISAR systems, the phase function can ... (2) So, the received signal is a 2D complex sinusoid (2) Phase function of moving targets in the SAR systems is analyzed in [1] Similar results are observed in some ISAR systems with uniform ... ISAR targets with fast and 3D maneuvers can produce phase function of the form SIGNAL MODEL In both SAR and ISAR systems series of signals is transmitted toward radar target Commonly, these signals...

Ngày tải lên: 22/06/2014, 19:20

... comparison with the other formal method requires the analysis of its results We conclude with Section Main result 2.1 Formal asymptotic solution In this section, we develop a perturbation method ... Perturbation method for difference equations Proof From (3.12) and (3.20), we deduce (0) (− (− ( s+ m (0) (0) ys(0) = yt ,s + w0 ,s s) + w1 ,s s+1) + · · · + wm−1 ,s −1) = yt ,s + ws ,s = s , s = 0,1, ,m ... applications: an overview, Dynamics of Continuous, Discrete & Impulsive Systems Series B Applications & Algorithms (2002), no 2, 233–278 [10] D S Naidu and A J Calise, Singular perturbations and time scales...

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 05/08/2014, 15:20

... ghost point, and solving (5.5) for the ghost cells simultaneously with the flow equations on the fluid domain solves the system This method has been quite successful for simulating viscous flows ... accomplished When flow problems involve very stiff or rigid bodies, continuous forcing is likely to cause trouble since most methods give rise to ”stiff” numerical systems Satisfactory results have ... thesis is the result of a literature study on Immersed Boundary Methods (IBMs) The literature study is based on a selected number of articles, presentations and conversations Its purpose is not...

Ngày tải lên: 11/07/2014, 23:20

... and loss of neurons (Fig 7C), with a similar loss evident for all peptides Discussion Because extensive evidence supports a crucial role for Ab in Alzheimer s disease pathogenesis, there is huge ... urea Mass spectrometry, amino acid analysis and sequencing Amino acid analysis was performed at the Amino Acid Analysis Center, University of Uppsala, Sweden Sequence analysis was performed using ... V All reagents were supplied by Electron Microscopy Sciences (Hatfield, PA, USA) Assessement of SEC-isolated peptides by HPLC and SDS-PAGE Samples (100 lL) of peptides isolated by SEC were injected...

Ngày tải lên: 18/02/2014, 13:20

Ngày tải lên: 17/03/2014, 13:45

... It is shown in [5] that the class of asymptotically κ-strictly pseudocontractive mappings and the class of κ-strictly pseudocontractive mappings are independent A mapping T is said to be uniformly ... modified Mann iterative processes for this class of mappings Moreover, a strong convergence theorem was also established in a real Hilbert space by hybrid projection method They proved the following ... processes for asymptotically nonexpansive mappings Proc Am Math Soc 122(3), 733–739 (1994) [11] Huang, Z: Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings Comput...

Ngày tải lên: 18/06/2014, 22:20

... Saud University—Science In press 20 A S Bataineh, M S M Noorani, and I Hashim, “Solving systems of ODEs by homotopy analysis method, ” Communications in Nonlinear Science and Numerical Simulation, ... Integro-Differential equations 13 , nonlinear dispersive K m, n, equations 14 , Long Porous Slider equation 15 , and Navier-Stokes equations 16 It can be said that He s homotopy perturbation method is a universal ... applications discussed above, were performed by MATHEMATICA The NHPM is very simple in application and is less computational more accurate in comparison with other mentioned methods By using this method, ...

Ngày tải lên: 21/06/2014, 05:20

... otherwise difficult to model Among various kinds of fuzzy methods, Takagi-Sugeno T -S fuzzy model provides a successful method to describe certain complex nonlinear systems using some local linear subsystems ... fuzzy drive and response systems, is proposed for time delayed chaotic systems with unknown parameters Based on Lyapunov-Krasovskii stability theory and LMI formulation, the proposed scheme can guarantee ... model-based chaos control and synchronization, most works were restricted to chaotic systems without time-delay Due to finite signal transmission times, switching speeds and memory effects, time...

Ngày tải lên: 21/06/2014, 07:20

... One of the simplest ways to derive such methods consists of using a class of special meshes such as Bakhvalov meshes; see, e.g., 18–24 , which is constructed a priori and depend on the perturbation ... is considered and a comparison of the numerical and exact solutions is presented In the works of Amiraliyev and Erdogan , special meshes Shishkin mesh have been used The method that we propose ... t rs ≤ s ≤ m for small values of ε In the present paper we discretize 1.1 - 1.2 using a numerical method which is composed of an implicit finite difference scheme on special Bakhvalov meshes for...

Ngày tải lên: 21/06/2014, 07:20

... respectively Thus, 1,T 3.14 It follows from the definition of K that T Φy t G1 t, s r s f s, ys t∈ 1,T t∈ 1,T ≥m us s T r s f s, ys us s ≥ ≥ which implies that Φ K ⊂ K m T Ms max G1 t, s 1 s, t≤T ... 1 s, t≤T r s f s, ys T m max G1 t, s r s f s, ys M t∈ 1,T s m Φy , M us us 3.15 Boundary Value Problems 13 Lemma 3.4 Suppose that (H1 ) holds Then Φ : K → K is completely continuous We assume that ... well-posedness of BVP 1.9 , since the function f depends on the term ut i.e., past values of u As usual, a sequence {u −τ , , u T } is said to be a positive solution of BVP 1.9 if it satisfies...

Ngày tải lên: 21/06/2014, 11:20

... Advances in Difference Equations ways to derive such methods consists of using an exponentially fitted difference scheme see, e.g., 10 for motivation for this type of mesh , which are constructed ... functions satisfying certain regularity conditions to be specified and r is a constant delay The solution u t displays in general boundary layers at the right side of each points t rs ≤ s ≤ m for small ... special meshes Shishkin mesh have been used The method that we propose in this paper uses exponential fitting schemes, which have coefficients of exponential type Statement of the Problem Consider a...

Ngày tải lên: 22/06/2014, 11:20

... equations in the spaces and arises from various problems of mathematics, physics, p p and biology, such as probability problems, problems concerning integral equations, generating analytic functions, ... base {ei, j,n }, i, j,n = 1,2, (For reasons of simplicity, we will use the symbols i, j, and n instead of the symbols i1 , i2 , and i3 , respectively.) Using (2.6), we find the abstract forms ... method using two characteristic examples of difference equations arising in a problem of mathematics and a problem of physics More precisely, we will establish conditions so that the difference equations...

Ngày tải lên: 23/06/2014, 00:20

... Ditzler A: State syringe and drug possession laws potentially influencing safe syringe disposal by injection drug users J Am Pharm Assoc (Wash) 2002, 42 :S9 4-98 Small D: Two cultures passing in the ... drug use Possession of injection equipment for the purpose of injecting illicit drugs is unlawful in many U .S jurisdictions, severely restricting syringe access [8-10] A recent study of 89 U .S cities ... injection drug users (IDUs) [1,2] Many states and localities have implemented syringe access programs (SAPs) to reduce the sharing of syringes, including over the counter syringe sales and syringe exchange...

Ngày tải lên: 11/08/2014, 18:20

... Since t /s > 1, it is obvious that as1 m s i=1 since asi m s i=1 t /s asm m s i=1 + ··· + as1 m s i=1 t /s < + ··· + asm m s i=1 = 1, ∈ (0, 1) It follows that ( at1 m s t /s i=1 ) + ··· + atm m s ... also assume that at least one of the sets Ω, Ω1 , , Ωm is bounded which guarantees the existence of an optimal solution; see [16] These are our standing assumptions for the remainder of this section ... assumption that at least one of the sets Ω, Ω1 , , Ωm is bounded What remains to be shown is the uniqueness of this solution We consider two cases In the first case, we assume that m ¯ Observe i=1 (Ω...

Ngày tải lên: 14/10/2015, 08:03