methods for solving complete singular integral equations

... Problems for Equations Problems for Equations of Hyperbolic Type Inverse problems for x-hyperbolic systems Inverse problems for t-hyperbolic systems Inverse problems for hyperbolic equations ... Problems for Equations of Second Order Cauchy problem for semilinear hyperbolic equations Two-point inverse problems for equations of hyperbolic type Two-point inverse problems for equations ... well-knownconditions for unique solvability as well It is worth noting here that for the first time problems with the integral overdetermination for both parabolic and hyperbolic equations have been completely...

Ngày tải lên: 17/03/2014, 14:30

... of integral equations with integrable singularities J Integral Equ Appl 19, 117–142 (2007) doi:10.1216/jiea/1182525211 11 Brezis, H, Browder, FE: Existence theorems for nonlinear integral equations ... sign for a system of Fredholm integral equations Cubo 6, 1–45 (2004) Agarwal, RP, O’Regan, D, Wong, PJY: Constant-sign solutions of a system of integral equations: The semipositone and singular ... C: Integral Equations and Applications Cambridge University Press, New York (1990) 17 Krasnosel’skii, MA: Topological Methods in the Theory of Nonlinear Integral Equations Pergamon Press, Oxford...

Ngày tải lên: 20/06/2014, 22:20

... Noor, “Resolvent methods for solving a system of variational inclusions,” International Journal of Modern Physics B In press 27 M A Noor and K I Noor, “Resolvent methods for solving the system ... 0, for all n ≥ satisfies some suitable conditions For suitable and appropriate choice of the operators T1 , T2 , A, g, h, g1 and spaces, one can obtain a wide class of iterative methods for solving ... the required result This equivalent formulation is used to suggest and analyze an iterative method for solving 2.1 To so, one rewrite 3.3 in the following form: x∗ − an x∗ y∗ an x∗ − g1 x∗ y...

Ngày tải lên: 21/06/2014, 06:20

... Preliminaries For solving the equilibrium problem for a bifunction F : C × C → R, let us assume that F satisfies the following conditions: A1 F x, x for all x ∈ C; A2 F is monotone, that is, F x, y A3 for ... for all x ∈ C, for a constant κ > 1; then, T is relaxed μ, ν -cocoercive and Lipschitz continuous Especially, T is ν-strong monotone Proof Since T x κx, for all x ∈ C, we have T : C → C For for ... method for solving the variational inequality 1.2 For a given u0 ∈ C, wn un PC un − λAun , PC wn − λAwn , n 0, 1, 2, , 1.7 which is also known as the modified double-projection method For the...

Ngày tải lên: 21/06/2014, 07:20

... thesis consist two parts: methods for solving EISPPLS and methods for solving EISP-ES, both of which are on the basis of the concept of subspace The subspace-based methods for solving EISP-PLS are ... investigate MUSIC methods for solving electromagnetic inverse scattering problems for point-like scatterers, so as to obtain a better resolution; Second, to investigate methods for solving electromagnetic ... 5] Methods for solving EISP-PLS and EISP-ES are quite different, since one needs to deal with the stability problem when solving the latter one Because EISP-PLS are properly posed, methods for solving...

Ngày tải lên: 14/09/2015, 08:39

... 2.1 Approaches for Solving the TSP ……………………………… … …12 2.1.1 Exact Methods for the TSP …………………………….………13 2.1.2 Heuristic Methods for the TSP………….………….… ….… 16 2.2 Approaches for Solving the VRP……………………….…….….……… ... Approaches for Solving the VRP 2.2.1 Exact Methods for the VRP Exact algorithms for solving the VRP proposed in the literature, such as set covering based algorithms, branch and bound methods and ... problem, it is assumed that the delivery is performed before the pickup for each customer location, and therefore, the current load of the vehicle before arriving at a given location can be calculated...

Ngày tải lên: 04/10/2015, 15:58

... problem, the strategy is to combine a method for solving equilibrium problems with a method for solving fixed point problems Most of the methods for solving equilibrium problems in the literature ... (x)] f (x, y) = i=1 2.5.2 Solution methods for solving equilibrium problems For our purpose in the next chapters, we recall some well-known solution methods for equilibrium problems in this subsection ... quasi-nonexpansive mapping over C for every w ∈ [0, − β] Furthermore Sw x − x∗ ≤ x − x∗ − w(1 − β − w) Sx − x for all (x, x∗ ) ∈ H × F ix(S) Many methods used in the literature for solving the fixed point...

Ngày tải lên: 21/05/2016, 22:17

... Tsamatos, Lomtatidze, Malaguti, Yang, Zhang, and Feng see 6–13 , e.g For more information about the general theory of integral equations and their relation to boundary value problems, the reader ... condition for problem 4.2 to have a C2 0, positive solution is that the following integral condition holds: 0< s − s f s, − s ds < ∞ 4.7 Consider the fourth-order singular p-Laplacian differential equations ... condition for problem 4.9 to have a C2 0, positive solution is that the following integral condition holds: 0< s − s f s, s ds < ∞ 4.14 Consider the fourth-order singular p-Laplacian differential equations...

Ngày tải lên: 21/06/2014, 11:20

... “Two methods for solving integral equations, ” Applied Mathematics and Computation, vol 77, no 1, pp 79–89, 1996 10 A M Wazwaz, “A reliable treatment for mixed Volterra-Fredholm integral equations, ” ... Fredholm integral equation of second kind in the general case, which reads b u x f x 1.4 K x, t u t dt, λ a where K x, t is the kernel of the integral equation There is a simple iteration formula for ... Dehghan, S M Vaezpour, and M Saravi, “The convergence of He’s variational iteration method for solving integral equations, ” Computers and Mathematics with Applications In press ...

Ngày tải lên: 21/06/2014, 20:20

... propose two parallel methods for solving the IBVP (5)-(7) where the parallelism will be performed across both the problem and the method According to Proposition 1, there exist nonsingular matrices ... proposition is complete and put ξ1 := Fully parallel methods for linear PDAEs In this section we study the numerical solution of the following initial boundary value problems (IBVPs) for linear PDAEs: ... and N be two nonsingular matrices, such as M AN = diag(Ir , On−r ), M BN = diag(D, In−r ), where DT = D > Then one can explicitily define two nonsingular matrices K and H , tranforming the pencil...

Ngày tải lên: 13/02/2014, 03:20

... in detail the design of efficient explicit methods for non-stiff xiv NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS problems For implicit methods for stiff problems, inexpensive implementation ... Numerical Methods for Ordinary Differential Equations Numerical Methods for Ordinary Differential Equations, Second Edition J C Butcher © 2008 John Wiley & Sons, Ltd ISBN: 978-0-470-72335-7 Numerical Methods ... functions on [0, 1] for which u(0) = u(1) = dx2 The eigenfunctions for the continuous problem are of the form sin(kπx), for 10 NUMERICAL METHODS FOR ORDINARY DIFFERENTIAL EQUATIONS k = 1, 2,...

Ngày tải lên: 13/02/2014, 20:20

... time dependent approach to solving the Maxwell equations This approach has the advantage that for explicit schemes no matrix inversion is necessary or for compact implicit methods only low dimension ... moments algorithm However these methods are difficult to use with non-homogeneous media As a consequence no single approach to solving the Maxwell equations is efficient for the entire range of practical ... iterative methods However, domains that span more than free space wavelengths present very difficult computer problems for the method of moments So, for example, modeling a military aircraft for RCS...

Ngày tải lên: 17/03/2014, 14:29

Ngày tải lên: 31/03/2014, 15:56

... Semigroups Parabolic Equations V Implicit Evolution Equations Introduction Regular Equations Pseudoparabolic Equations Degenerate Equations Examples ... so that j C0 j (x) for all x Rn , supp( j ) Gj , and j (x) = for x Fj LetS C0 (Rn ) be chosen with (x) n , supp( ) G for all x R fFj : j N g, and (x) P for x G = Finally, for each j , j N , ... Approximation of Evolution Equations Introduction Regular Equations Sobolev Equations Degenerate Equations Examples ...

Ngày tải lên: 31/03/2014, 15:56

... Methods & Applications, vol 14, no 6, pp 489–500, 1990 Boundary Value Problems 19 P Yan and M Zhang, “Higher order non-resonance for differential equations with singularities,” Mathematical Methods ... repulsive singular equations, ” Journal of Differential Equations, vol 211, no 2, pp 282–302, 2005 27 P J Torres, “Weak singularities may help periodic solutions to exist,” Journal of Differential Equations, ... topological methods is more recent but has also attracted many researchers 4, 6, 23–28 In 27 , for the first time in this topic, Torres proved an existence result which is valid for a weak singularity...

Ngày tải lên: 21/06/2014, 20:20

... x 1.6 for all x ∈ Rn with |xi | > R1 , for all t ∈ 0, 2r and i 1, 2, , n H3 there exist constants c1 > 0, R2 > and < λ < such that fi t, x < c1 |xi |λ for all x ∈ Rn with |xi | > R2 , for all ... and f is odd with respect to x It is enough for us to for any y ∈ H and x being a critical point of φ in E prove φ x , y Advances in Difference Equations For any y ∈ H, we have Γ2 φ x , y 2π π ,y ... x , y1 φ x , y2 0 for 2.25 The proof is complete Remark 2.5 By Lemma 2.4, we only need to find critical points of φ|E over E Therefore in the following φ will be assumed on E For x ∈ E, x t π −x...

Ngày tải lên: 21/06/2014, 20:20

... general case, one uses control conditions of the form Df x, y ≤ δ x, y 1.6 and the stability estimations are of the form f x −S x ≤ε x , 1.7 0, and for ε x , explicit where S is a solution, that ... stability for some functional equations in a single variable We prove the generalized Ulam-Hyers stability of the single variable equation w◦f ◦η f h 1.8 As an application of our result for 1.8 ... that a complete generalized metric space X, d (i.e., one for which d may assume infinite values) and a strictly contractive mapping A : X → X with the Lipschitz constant L < are given Then, for a...

Ngày tải lên: 22/06/2014, 06:20

... one of these methods yields the existence, whereas the other one does not Bicharacteristics First, for a given function z ∈ C([−τ ,a], R+ ), consider the bicharacteristic equations for problem ... methods for some problems of mathematical biology,” in Differential & Difference Equations and Applications, pp 661–666, Hindawi, New York, NY, USA, 2006 [15] J K Hale, Functional Differential Equations, ... Kamont and H Leszczynski, “Uniqueness result for the generalized entropy solutions to the Cauchy problem for first-order partial differential-functional equations, ” Zeitschrift f¨ r Analysis u und...

Ngày tải lên: 22/06/2014, 11:20

... ≤ C for any k ∈ N, where Ln = 2n+1 n−1 k(s)ds Then there exists at least one solution x ∈ C(R+ ,E) of the integral equation (2.1) Proof For the proof we use Theorem 1.3 Let X = C(R+ ,E) For each ... has a fixed point Therefore, all the assumptions of Theorem 1.3 are satisfied Now the conclusion follows from Theorem 1.3 Other existence results for integral and differential equations established ... Gordon and Breach Science, Amsterdam, The Netherlands, 2001 [7] A Chis, “Continuation methods for integral equations in locally convex spaces,” Studia Univer¸ sitatis Babes-Bolyai Mathematica,...

Ngày tải lên: 22/06/2014, 19:20