the carleman method for equations with difference kernels
Báo cáo hoa học: " Research Article Summation Characterization of the Recessive Solution for Half-Linear Difference Equations" doc
... > for large k are negative see 19 , that is, > wk > wk Then using the same argument as in the first part of the proof we have < vk < vk for large k for any solution v of 5.15 , that is, u is the ... such that um < and either um > or um is not defined This means that Rm um ≤ from 4.4 On the other hand, 4.3 together ∗ with 4.4 and the fact that Rk x/ Rk x is increasing with respect to x on ... 22−p for p ∈ 1, Denote t q − 1/ p − , then we need to prove the inequality g t : t − · 2−1/t ≥ for t ∈ 1, ∞ A standard investigation of the graph of the function t → · 2−1/t shows that the required...
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Báo cáo toán học: "Applying Fixed Point Theory to the Initial Value Problem for the Functional Differential Equations with Finite Delay " pot
... Fixed Point Theory for the Functional Differential Equations with Finite Delay 57 Theorem 4.3 Let the Assumptions 4.1, 4.2 be satisfied Then there exists an ω-periodic solution of the problem (1.1)–(1.2) ... Clearly, the operator L is bounded linear On the other hand, we have the following lemma Lemma 2.1 For each f ∈ BC[0, ∞), the equation Lx = f has a unique solution Fixed Point Theory for the Functional ... Applying the Arzela–Ascoli theorem, P (t)Ω2, is relatively compact in C, for all t ∈ [r, T ] Next, the following theorem is a preliminary result for the main result In the sequel, let CP denote the...
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THE ESSENTIAL STEP-BY-STEP GUIDE TO INTERNET MARKETING - The building blocks for succeeding with online marketing potx
... blog posts, within offers, etc They are the key trigger behind lead generation On the landing page, a visitor is prompted to complete the form by entering their contact information and other details ... house the form visitors fill out in order to access your offer The information you ask for in this form will be used by you or your sales team to follow up with these leads Once users submit their ... your HTML CSS, on the other hand, holds a template for the layout of your page In the CSS, you define how headings, links, and other visual elements of the text should look The takeaway here...
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Đề tài " Ergodicity of the 2D Navier-Stokes equations with degenerate stochastic forcing " pdf
... of these steps is forbidden From there, the condition n2 > L ensures that we can take as many steps as we want into either the direction a1 or the direction −a1 without any of them being forbidden ... Theorem 2.3 if the conditions of Theorem 2.1 are not satisfied then ˜ ˜ one of the modes with lowest wavenumber is in H⊥ In fact either f(1,0) ⊥ H or ˜ f(1,1) ⊥ H On the other hand for sufficiently ... not forbidden and therefore k ∈ Z∞ This shows that Z∞ = Z0 and therefore completes the proof of Proposition 4.4 1011 ERGODICITY OF THE 2D NAVIER-STOKES EQUATIONS 4.2 Malliavin calculus and the...
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Báo cáo hóa học: " Research Article On Strong Convergence by the Hybrid Method for Equilibrium and Fixed Point Problems for an Inifnite Family of Asymptotically Nonexpansive Mappings" potx
... βn,k ≤ for every n for every n ∈ N and limn → ∞ βn,k > for every k ∈ N, and let 1, 2, , n with n βn,k k n rn k βn,k tk,n − for every n ∈ N Then, the following holds: i Tn x − z ≤ rn x − z for ... → ∞ They proved that if αn ≤ a for all n and for some < a < 1, then the sequence {xn } generated by 1.7 converges strongly to P Fix T x0 Very recently, Inchan and Plubtieng 16 introduced the ... Takahashi 14 and Kim and Xu 15 On the other hand, for finding a common element of EP φ ∩F S , Tada and Takahashi 19 introduced the following iterative scheme by the hybrid method in a Hilbert space:...
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Báo cáo hóa học: " Research Article Strong Convergence Theorems of the CQ Method for Nonexpansive Semigroups Huimin He and Rudong Chen" pptx
... xn+1 = PCn ∩Qn x0 for each n ∈ N ∪ {0}, where αn ∈ [0,a] for some a ∈ [0,1) and tn ≥ limn→∞ tn = then the sequence {xn } converges strongly to PF x0 In the sequel, we will need the following definitions ... ∀z ∈ Cn ∩ Qn (2.11) Fixed Point Theory and Applications Therefore the sequence { xn − x0 } is bounded and nondecreasing So lim xn − x0 exists (2.12) n→∞ On the other hand, from xn+1 ∈ Qn , we ... of the American Mathematical Society, vol 131, no 7, pp 2133–2136, 2003 [4] H.-K Xu, “A strong convergence theorem for contraction semigroups in Banach spaces,” Bulletin of the Australian Mathematical...
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Báo cáo hóa học: "THE ANOSOV THEOREM FOR INFRANILMANIFOLDS WITH AN ODD-ORDER ABELIAN HOLONOMY GROUP" doc
... thereafter we will follow the second approach and work with infranilmanifolds with odd-order Abelian holonomy group The main result of this paper is that the Anosov theorem always holds for these ... contradicting the fact that B has no real eigenvalues So the dimension of the eigenspace of λ is and therefore the multiplicity of λ must be Suppose the lemma holds for r × r matrices with r even ... E, and therefore, the only free Abelian quotient of E is the trivial group Therefore, there does not exist a normal nilpotent group Γ ⊆ E, with E/Γ free Abelian This shows that E is not the fundamental...
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Xử lý nước thải của quá trình sản xuất sữa bằng phương pháp hóa học = The chemical method for treatment of milk waste water
... dinh nhu sau: Lay mot the tich chinh xac nude thai, diing dung dich Zn (CH,COO)2 de ket tiia S^" d dang ZnS (do pH ciia nude thai - - nen chiing tdi khdng can chinh pH trudc them Zn^"^) Lgc ke't ... tieu chuan loai B vi COD cua nude O thai Con pH < hieu qua xir ly kem hon Theo chiing tdi, d pH > cac axit hiiu ca cd the tao ket tiia vdi Ca^^ va bi giii lai tren giay lgc, dd COD cd dich lgc ... cd the vai trd cua CaO la cung ca'p Ca^"^ de chuyen cac chat tan gay d nhiem ve dang ket tua 2.4 Khao sat anh hudng cua luang CaOCIi den qua trinh xuly CaOCl2 la chat oxy hoa manh, nd cd the...
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The UWA05 method for prediction of axial capacity of driven piles in sand
... predictive performance than the other two CPT based methods THE UWA-05 DESIGN METHOD FOR PILES IN SAND 2.1 End Bearing Factors that were considered in the development of the UWA-05 proposals for base ... each pile test in the database However, the relative performance of each method for various categories within the database is less clear For example, NGI-04 predictions appear best for open-ended ... increased Despite the CPT based methods having a broadly similar predictive performance against the new database of load tests, their formulations relating the pile end bearing with the cone tip resistance...
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Báo cáo hóa học: "PERTURBATION METHOD FOR LINEAR DIFFERENCE EQUATIONS WITH SMALL PARAMETERS" pot
... situated on the right), and we deduce the results from Section The comparison with the other formal method requires the analysis of its results We conclude with Section Main result 2.1 Formal asymptotic ... the convergence of the series (2.1) The following theorem includes these results Theorem 2.1 Assume that an,k = for ≤ k ≤ N − n − m Then there exists positive real number ε0 , if |ε| < ε0 , the ... considerable treatment of the boundary value problem The proposed method consists simply of writing the problem (Pε ) in a matrix form (see the proof of Theorem 2.1 for the details), and can be...
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A FUNCTIONAL-ANALYTIC METHOD FOR THE STUDY OF DIFFERENCE EQUATIONS EUGENIA N. PETROPOULOU AND potx
... fixed point theorems) from the wealth of operator theory, in order to assure the existence of a unique solution of the operator equation in H or H1 In the case of linear equations, we use the following ... variables in the Hilbert space , defined by (1.1), and the Banach space , defined by (1.2), rep p spectively, with p ∈ N, p ≥ The motivation for seeking solutions of partial difference equations in the spaces ... difference equations of three and four variables The aim of this paper is to present the generalization of this functional-analytic method for the study of linear and nonlinear partial difference equations...
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CLASSIFICATION OF SOLUTIONS FOR A SYSTEM OF INTEGRAL 2 EQUATIONS WITH NEGATIVE EXPONENTS VIA THE METHOD OF 3 MOVING SPHERES
... INTEGRAL EQUATIONS VIA THE METHOD OF MOVING SPHERES 10 exploited the conformal invariance of the problem which, as a by-product, captures solutions directly rather than going the second step as in the ... integral form of the method of moving spheres for solving systems of integral equations As far as we know, this is the first attempt to use the method of moving spheres for systems (with negative ... integral form of the method of moving planes for system The basic idea of this new method that allows the method to go through depends heavily on some new special features possessed by integral equations...
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Báo cáo " Stability Radii for Difference Equations with Time-varying Coefficients " ppt
... outline of the remainder of the paper is as follows: the next section introduces the concept of Stability radius for difference equation in lp In Section we prove a formula for computing the lp− ... give a formula for stability radii for difference equation Now let the unique solution to the initial value problem for (4) with initial value condition x(n0 ) = x0 denote by x(· ; n0 , x0) In the ... lp(0, ∞; Y )) is the Banach space of all linear continuous operators from lp(0, ∞; X) to lp (0, ∞; Y ) Sometime, for the convenience of the formulation, we identify lp(s, t; X) with the space of...
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Novel method for sputum induction using the Lung Flute in patients with suspected pulmonary tuberculosis pdf
... measure Patients remained in the room for up to 30 min, until they produced sputum The microbiology laboratory complied with the guidelines for TB examination of the Japanese Society of Tuberculosis.7 ... first report of the clinical use of the Lung Flute in diagnosis of TB The device may represent a new technology for sputum induction for the diagnosis of pulmonary TB The Lung Flute for sputum induction ... through the Lung Flute and to repeat the manoeuvre for a total of 20 sets of two blows each Printed instructions were handed to the patients, and they were directly supervised in the use of the device...
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báo cáo hóa học:" Mid-term results of ponseti method for the treatment of congenital idiopathic clubfoot (A study of 67 clubfeet with mean five year follow-up)" pot
... after the adduction of the foot and the varus deformity of the heel has been corrected, a simple percutaneus tenotomy of the Achilles tendon is performed We prefer to perform the tenotomy in the ... room with the patient under general anesthesia, which allows optimal analgesia for the infant This setting also provides the surgeon with the controlled environment; with hopefully optimize the ... stabilize the leg with knee bent The other hand is used to grasp the foot and then place the ankle into maximum dorsiflexion followed by planter flexion The exercises were performed twice a day till the...
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báo cáo hóa học:" Mid-term results of ponseti method for the treatment of congenital idiopathic clubfoot (A study of 67 clubfeet with mean five year follow-up)" docx
... after the adduction of the foot and the varus deformity of the heel has been corrected, a simple percutaneus tenotomy of the Achilles tendon is performed We prefer to perform the tenotomy in the ... room with the patient under general anesthesia, which allows optimal analgesia for the infant This setting also provides the surgeon with the controlled environment; with hopefully optimize the ... stabilize the leg with knee bent The other hand is used to grasp the foot and then place the ankle into maximum dorsiflexion followed by planter flexion The exercises were performed twice a day till the...
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Báo cáo hóa học: " New criteria for stability of neutral differential equations with variable delays by fixed points method" docx
... asymptotically stable if and only if t j (t) Then the zero solu- H (u) du → ∞ ast → ∞ Obviously, Theorem B improves Theorem A Theorem C extends Theorem B Without the loss of generality, we denote (4) ... sufficient conditions for stability are presented by the fixed point theory We first give some results on stability of the zero solution of Equation Then, we generalized the results of the stability ... ≡ 1, then Theorem 3.1 is Theorem B on sufficient conditions Theorem 3.2 Let τ (t) be twice differentiable and τ’ (t) ≠ for all t Î [m (s), ∞) Suppose that (i)-(iii) in Theorem 3.1 hold If there...
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Báo cáo hóa học: " Difference inequality for stability of impulsive difference equations with distributed delays" pdf
... Thus we can deduce the conclusion in terms of Theorem 3.1 Remark 3.3 If Hk(x) = x, then Equation becomes difference equations with distributed delays without impulses in vector form ∞ μk g (x(m ... 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 ... is determined by the following inequality eλ P + ∞ Q(k)eλk − E z < 0, for a given z∈ (14) k=1 Theorem 3.1 Assume that the hypothesis (H) and Conditions (A1)-(A5) hold Then the zero solution...
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