solutions for english translation of vtm and standardization of english translation of vtm
Báo cáo hóa học: " Multiple positive solutions for a class of quasilinear elliptic equations involving concave-convex nonlinearities and Hardy terms" ppt
... local minimizer of Jl on N and uλ ∈ Nλ / 1,p Then, Jλ (uλ ) = 0in (D0 ( ))−1 Proof The proof is similar to [[23], Theorem 2.3] and is omitted □ Lemma 3.3 Nλ = for all l Î (0, Λ1) Proof We argue ... (g2) and the definition of uελ, we have that f |uελ |q > and ∗ g|uελ |p > − From Lemma 3.4, the definition of αλ and (5.5), for any l Î (0, Λ 0), there exists − tελ > such that tελ uελ ∈ Nλ and ... fact, by (f2), (g2) and the definition of uελ,μ, we have that f |˜ ελ,μ |q > u and ∗ g|˜ ελ,μ |p > u − From Lemma 3.4, the definition of αλ and (6.1), for any l Î (0, Λ0) and μ < 0, there − ˜...
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báo cáo hóa học: " Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping" ppt
... (3:3) Proof The proof is almost the same that of Said-Houari [26], so we omit it here □ To prove our result and for the sake of simplicity, we take a = b = and introduce the following: Liang and Gao ... Messaoudi [11] studied (1.2) for h(ut) = a|ut|m-2ut and f(u) = b|u|p-2u and proved a blow-up result for solutions with negative initial energy if p >m ≥ and a global result for ≤ p ≤ m This result ... to accommodate certain solutions with positive initial energy Song and Zhong [13] considered (1.2) for h(ut) = -Δut and f(u) = |u|p-2u and proved a blow-up result for solutions with positive...
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báo cáo hóa học:" Existence and multiplicity of positive solutions for a class of p(x)-Kirchho type equations" ppt
... results for the weak solution of Pλ Ap- plying Theorems 4.1 and 4.4 of [44] and Theorem 1.3 of [37], we can easily get the following f results involving of the regularity of weak solutions of Pλ ... a solution of (4.4λ ), must f satisfy vλ ≥ uλ , and vλ is also a solution of Pλ The proof of Theorem 1.2 is complete Proof of Theorem 1.3 (1) Let f satisfy (1.4), (1.9), and (1.10) For given ... uλ1 and uλ2 are the positive solutions of f f Pλ1 and Pλ2 respectively and uλ1 ≤ uλ2 Then there f Pλ such that uλ1 ≤ vλ ≤ uλ2 and vλ is a global minimizer exists a positive solution vλ of 19 of...
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báo cáo hóa học:" Research Article Existence and Uniqueness of Periodic Solutions for a Class of Nonlinear Equations with p-Laplacian-Like Operators" doc
... existence of periodic solutions to the following p-Laplacian equation: f x t x t ϕp x t g x t 1.3 e t, |s|p−2 s for s / and ϕp 0 Obviously, 1.3 is a special case and its variants, where ϕp s of 1.1 ... operator ϕ of 1.1 , it is more difficult to prove the existence of periodic solutions to 1.1 Therefore, in this paper, we will devote ourselves to investigate the existence of periodic solutions ... C R, R such that for all t ∈ R and |x| > r, x g x −ε t T < 0, T ε t − e t dt ≤ 0, |ε t − e t |dt < 2.1 Then 1.1 has a unique T -periodic solution Proof Existence For the proof of existence, we...
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Báo cáo hóa học: " Research Article Existence and Uniqueness of Positive and Nondecreasing Solutions for a Class of Singular Fractional Boundary Value Problems" ppt
... Integrals and Derivatives Theory and Applications, Gordon and Breach Science, Yverdon, Switzerland, 1993 15 B Ahmad and J J Nieto, “Existence results for nonlinear boundary value problems of fractional ... Journal of Mathematical Analysis and Applications, vol 186, no 2, pp 504–513, 1994 D Delbosco and L Rodino, “Existence and uniqueness for a nonlinear fractional differential equation,” Journal of Mathematical ... proofs of our main results Definition 2.1 The Riemman-Liouville fractional integral of order α > of a function f : 0, ∞ → R is given by α I0 f t Γα t t−s α−1 f s ds 2.1 provided that the right-hand...
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Báo cáo hóa học: " Research Article Existence and Uniqueness of Solutions for Singular Higher Order Continuous and Discrete Boundary Value Problems" pptx
... “Existence of positive solutions for higher order difference equations,” Applied Mathematics Letters, vol 10, no 5, pp 67–74, 1997 14 X Lin, D Jiang, and X Li, “Existence and uniqueness of solutions for ... solution of 4.5 , then y i is a solutionn of 1.2 Proof Since we remark that x i is a solution of 4.5 , if and only if T K i, j λF j n − 1, T x j , Tx i x i n−1 , for ≤ i ≤ T 4.6 j Let y i for ≤ ... W Eloe and J Henderson, “Postive solutions for higher order differential equations,” Journal of Differential Equations, vol 3, pp 1–8, 1995 C J Chyan and J Henderson, “Positive solutions for singular...
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Báo cáo hóa học: " Research Article Existence and Uniqueness of Solutions for Singular Higher Order Continuous and Discrete Boundary " doc
... “Existence of positive solutions for higher order difference equations,” Applied Mathematics Letters, vol 10, no 5, pp 67–74, 1997 14 X Lin, D Jiang, and X Li, “Existence and uniqueness of solutions for ... solution of 4.5 , then y i is a solutionn of 1.2 Proof Since we remark that x i is a solution of 4.5 , if and only if T K i, j λF j n − 1, T x j , Tx i x i n−1 , for ≤ i ≤ T 4.6 j Let y i for ≤ ... W Eloe and J Henderson, “Postive solutions for higher order differential equations,” Journal of Differential Equations, vol 3, pp 1–8, 1995 C J Chyan and J Henderson, “Positive solutions for singular...
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Báo cáo hóa học: " Research Article Extinction and Decay Estimates of Solutions for a Class of Porous Medium Equations" pptx
... (1.13) Journal of Inequalities and Applications Proofs of theorems In this section, we will give detailed proofs for our result Let · L p (Ω) and W 1,p (Ω) norms, respectively, ≤ p ≤ ∞ p and · 1,p ... about the extinction and decay estimations of solutions for problem (1.1)–(1.3) For the proof of our result, we employ L p -integral model estimate methods and two crucial lemmas on differential inequality ... 2 Journal of Inequalities and Applications methods and an eigenfunction argument But as far as we know, few works are concerned with the decay estimates of solutions for the porous medium...
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Báo cáo hóa học: " Research Article The Nonzero Solutions and Multiple Solutions for a Class of Bilinear Variational Inequalities Jianhua Huang" pptx
... (G5 ) Then, there exist three solutions of VI (1.2), at least two of which are nonzero solutions The proof of Theorem 3.2 is similar to the proof of Theorem 3.1 and so we omit it An example about ... show the existence of nonzero solutions for VI (1.2) as Ka g is condensing mapping Multiple solutions of VI (1.2) In this section, we study the existence of multiple solutions of VI (1.2) Theorem ... class of variational inequalities,” Journal of Mathematical Analysis and Applications, vol 128, no 1, pp 138–155, 1987 [3] S S Zhang and S W Xiang, “On the existence and uniqueness of solutions for...
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Báo cáo hóa học: "CONVERGENCE AND PERIODICITY OF SOLUTIONS FOR A CLASS OF DIFFERENCE SYSTEMS" potx
... u ≤ σ, f (u) = −1 if u > σ, for some constant σ ∈ R The aim of this paper is to investigate the convergence and periodicity of solutions for system (1.1) as f is of the digital nature (1.2), ... input-output relation of a neuron For simplicity, let N denote the set of all nonnegative integers, and define N(m) = {m,m + 1,m + 2, }, N(m,n) = {m,m + 1, ,n} for any m,n ∈ N and m ≤ n Moreover, ... I33 (1.10) By a solution of the system (1.1), we mean a sequence {(xn , yn )} of points in R2 that is defined for all n ∈ N(1) and satisfies (1.1) for n ∈ N(1) Clearly, for any (x0 , y0 ) ∈ R2 ,...
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Báo cáo hóa học: "EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF SUPERLINEAR p-LAPLACIAN EQUATIONS" potx
... Foundation of China (No 10471113) and by the Teaching and Research Award Program for Outstanding Young Teachers in Higher Education Institutions of MOE, China References [1] A Ambrosetti and P H ... ) = +∞ uniformly in a.e x ∈ Ω, where a ∈ L∞ (Ω) satisfies a(x) ≤ λ1 for all x ∈ Ω and a(x) < λ1 on some Ω ⊂ Ω with |Ω | > 0, λ1 is the first eigenvalue of −Δ p and |Ω | is the measure of Ω Then ... [6] for p = 2, and recently by Liu and Li in [9] for general p > We can easily prove that Assumption 1.2 is equivalent to Assumption 1.1 when θ = and Assumption 1.2 gives some general sense of...
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EXISTENCE AND MULTIPLICITY OF WEAK SOLUTIONS FOR A CLASS OF DEGENERATE NONLINEAR ELLIPTIC pot
... Existence and multiplicity one or two solutions for equations of type (1.1) Results regarding the multiplicity of solutions have been originally proven by Tarantello [16], but in the case of linear ... Hardy potential and show that (2.2) has a nontrivial weak solution A discussion of some physical applications for equations of type (2.2) and a list of papers devoted with the study of such problems ... = for all ϕ ∈ E, that is, u is a weak solution of problem (2.2) Relation (4.17) also implies that J(u) = c > and that shows that u is non-trivial The proof of Theorem 2.1 is complete Proof of...
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Analysis, evaluations and solutions for improving effectiveness of the foreign currency business operation of the Vietnam bank for Agriculture and rural development
... individuals, and other credit institutions I the forms o f demand and term deposits and others A gribank does discount and rediscount com mercial papers and other valuable papers by foreign currency ... serve demands about investment and commerce operations 1.1.3 Functions o f the foreign exchange market Foreign exchange market exists and develops to serve the following demands: - Trade and investment ... loans by foreign currency to meet their capital needs for production, business, services and living requirements - Medium and long-term loans by foreign currency for the implementation of investment...
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SOME SOLUTIONS FOR THE DEVELOPMENT OF CONSUMER LENDING AT TECHCOMBANK HOANG QUOC VIET
... Business English 50B General Director Deputy Director Deputy Director Deputy Director Dpt of foreign exchange currencies and payment Dpt of Dpt of Dpt of Dpt of Audit and Credit Accounting Capital and ... research and offering solutions would bring enormous significance for both theoretical and practical aspects for the diversification of the bank’s activities For this reason, the issue “Some solutions ... growth and stability, safety is the top target that Techcombank set In 2012, they will make the efforts of outstanding loans as well as mobilization of capital growth and profit before tax of the...
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Tài liệu Solutions for small business - business planning and financial forecasting docx
... industry standards to forecast the cost of goods and gross profit of your income statement The next step is to make cost estimates for The Overheads Forecast The overheads forecast is an estimate of ... Cost of Goods = Number of units sold x Cost per unit Just as in the unit forecast, you must this for each unit sold The sum of the cost of goods is then part of the income statement solutions for ... expenditure in each area for your cash flow forecast Some of your forecasts will be a matter of calling a supplier and asking for a quote – insurance is an example of this kind of overhead Sometimes,...
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solutions for the development of bank marketing towards individual customers in vietnam prosperity joint stock commercial bank vpbank
... specific part of banking products This is a form of expression outside of banking products and services such as its name, form, characteristics, symbols, terms of use It is the base for customers ... the information needs of the customer at any time and anywhere The interface and layout of the website are logically arranged and attractive with the VPBank’s colors (green and red) Content of newly ... number of professional employees of VPBank reaches over 3,000, over 92% of them are under 40 and about 80% of them hold undergraduate and graduate degrees Recognizing that the quality of employees...
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Báo cáo sinh học: " Periodic solutions for a class of higher order difference equations" potx
... and τ (n + ω) = τ (n), ω, m, k ∈ N, and obtained existence theorem for single and multiple positive periodic solutions of (1.3) Our aim of this article is to study the existence of periodic solutions ... Periodic solutions for a class of higher-order difference equations Huantao Zhu1 and Weibing Wang∗2 Hunan College of Information, Changsha, Hunan 410200, P.R China Department of Mathematics, ... i=1 Clearly, the fixed point of Tp in X is a periodic solution of (1.1) Proof of Theorem 1.1 Let p = r and Ω = {x ∈ X : m ≤ x(n) ≤ M for n ∈ Z}, then Ω is a closed and convex set If r = 1, then...
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báo cáo hóa học:" Research Article Existence of Homoclinic Solutions for a Class of Nonlinear Difference Equations" pot
... papers 1–3, 11–14 , the authors studied the existence of periodic solutions, subharmonic solutions, and homoclinic solutions of some special forms of 1.1 by using the critical point theory These papers ... study of periodic solutions for difference equations Along this direction, Ma and Guo 13 applied the critical point theory to prove the existence of homoclinic solutions of the following special form ... homoclinic solution of 1.1 The proof is complete Proof of Corollary 1.5 Obviously, F7 and F8 imply that F4 holds, and F7 and F9 imply a2 n b n |a n | In addition, by F7 and F8 , we have that...
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báo cáo hóa học:" Research Article Multiple Positive Solutions for a Class of Concave-Convex Semilinear Elliptic Equations in Unbounded Domains with Sign-Changing Weights" pdf
... two positive solutions for all λ ∈ 0, λ0 and has one positive solution for λ λ0 and no positive solution for λ > λ0 Actually, Adimurthi et al , Damascelli et al , Ouyang and Shi , and Tang proved ... has exactly two positive solutions for λ ∈ 0, λ0 and has exactly one positive solution for λ λ0 and no positive solution exists for λ > λ0 For more general results of Eλ involving sign-changing ... replace J0 and α∞ Ω , 0 respectively The existence of ground state solutions of Eb is affected by the shape of the domain Ω and b x that satisfies some suitable conditions and has been the focus of a...
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