solubility and types of solutions
Discussion paper: Key concepts of the Alternative Investment Fund Managers Directive and types of AIFM pptx
... development of regulatory technical standards by ESMA to determine types of AIFM for the purposes of consistent harmonisation and uniform application of the conditions of the AIFMD Many of the articles ... determine types of AIFM, where relevant in the application of the AIFMD, and to ensure uniform conditions of application of the AIFMD The different types of AIFM will manage a variety of AIF legal ... functions under Annex I) IV Definition of AIF Types of AIF 11 It is not possible to define the types of AIFM without considering the types of AIF for which they act and, in particular, the different...
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Báo cáo toán học: " Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions" ppt
... Existence and multiplicity of solutions for nonlocal p(x)-Laplacian equations with nonlinear Neumann boundary conditions Erlin Guo∗ and Peihao Zhao School of Mathematics and Statistics, ... E(u0 ) < and u0 = By the genus theorem, similarly in the proof of Theorem 4.3 in [18], we have the following: Theorem 3.3 Let the hypotheses of Theorem 3.2 hold, and let, in addition, f and g satisfy ... in the proof of Theorem 4.8 in [40], we have the following: Theorem 4.2 Under the hypotheses of Theorem 4.1, if, in addition, (f3 ) and (g3 ) are satisfied, then (P ) has a sequence of solutions...
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Báo cáo hóa học: " Local existence and uniqueness of solutions of a degenerate parabolic system" pptx
... 2011006) and also by the 985 project of Harbin Institute of Technology Authors’ contributions DZ and JS carried out the proof of existence, BW conceived of the study, and participated in its design and ... Coddington, E, Levinson, N: Theory of Ordinary Differential Equations McGraw-Hill, New York (1955) 17 Anderson, JR: Local existence and uniqueness of solutions of degenerate parabolic equations ... g(u2 ) for all (x, t) ∈ QT , u1 , u2 ∈ R Existence and uniqueness In this section, we show the local existence and uniqueness of weak solutions of (1.1)(1.3) First, we show the local existence...
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báo cáo hóa học:" Research Article Exponential Stability and Estimation of Solutions of Linear Differential Systems of Neutral Type with Constant Coefficients" pot
... suggested to the study of stability and estimates of solutions of 1.1 Exponential Stability and Estimates of the Convergence of Solutions to Stable Systems First we give two definitions of stability to ... solution of 1.1 is exponentially stable in the metric C1 Estimates of Solutions in a General Case Now we will estimate the norms of solutions of 1.1 and the norms of their derivatives in the case of ... H , ϕ1 G1 , H and ϕ2 G2 , H , have the same meaning as in Part The proof of the following theorem is similar to the proofs of Theorems 2.5 and 2.6 and its statement in the case of p exactly coincides...
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báo cáo hóa học:" Existence and multiplicity of solutions for a fourth-order elliptic equation" potx
... Existence and multiplicity of solutions for a fourth-order elliptic equation Fanglei Wang∗1 and Yukun An2 College Department of Science, Hohai University, Nanjing, 210098, P R China of Mathematics, ... (4) and (H5) Hence, I(tϕ1 ) ≤ l2 t2 ϕ1 2 − tΘ ϕ1 Θ Θ + C4 → −∞ as t → +∞ and part is proved Proof of Theorem 2.1 From Lemmas 2.2 and 2.3, it is clear to see that I(u) satisfies the hypotheses of ... of an elastic plate in a fluid, and has been studied by many authors, see [4–10] and the references therein Inspired by the above references, the object of this article is to study existence and...
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Báo cáo hóa học: "Research Article On the Nonexistence and Existence of Solutions for a Fourth-Order Discrete Boundary Value Problem" doc
... nonexistence of nontrivial solutions of BVP 1.5 Finally, in Section 4, we provide various sets of sufficient conditions on the existence of solutions of BVP 1.5 when f is superlinear, sublinear, and Lipschitz ... 3, 5–7 , the method of upper and lower solutions , and critical point theory 9, 10 are widely used to deal with the existence of solutions for the boundary value problems of fourth-order differential ... problem of finding a solution of 1.5 to that of seeking a critical point of the functional J defined on Rk In order to obtain the existence of critical points of J on Rk , for the convenience of readers,...
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Báo cáo hóa học: "Research Article Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems" ppt
... Ge, and X Lin, “Existence of solutions for a class of third-order nonlinear boundary value problems,” Journal of Mathematical Analysis and Applications, vol 294, no 1, pp 104–112, 2004 Y Feng and ... formulate and prove our main results on the existence and uniqueness of solutions for nth-order three point boundary value problem 1.1 , 1.2 Theorem 3.1 Assume that i there exist lower and upper solutions ... x2 , 3, x2 3.68 Choose α t −t, β t t and γ t t It is easy to check that α t −t, and β t t are lower and upper solutions of BVP 3.66 , 3.67 respectively, and all the assumptions in Theorem 3.2...
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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
... ∞ → 0, ∞ is continuous and nondecreasing; h : 0, ∞ → 0, ∞ is continuous and nonincreasing, and h may be singular at y Next, we consider the existence and uniqueness of solutions for the following ... Foundation of China Grants no 10571021 and 10701020 The work was supported by Subject Foundation of Harbin University Grant no HXK200714 References Y Guo and J Tian, “Positive solutions of m-point ... “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...
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Báo cáo hóa học: " Research Article Existence and Uniqueness of Solutions for Singular Higher Order Continuous and Discrete Boundary " doc
... ∞ → 0, ∞ is continuous and nondecreasing; h : 0, ∞ → 0, ∞ is continuous and nonincreasing, and h may be singular at y Next, we consider the existence and uniqueness of solutions for the following ... Foundation of China Grants no 10571021 and 10701020 The work was supported by Subject Foundation of Harbin University Grant no HXK200714 References Y Guo and J Tian, “Positive solutions of m-point ... “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...
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Báo cáo hóa học: "EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR SOME THREE-POINT NONLINEAR BOUNDARY VALUE PROBLEMS" pptx
... Ma and N Castaneda, Existence of solutions of nonlinear m-point boundary-value problems, Journal of Mathematical Analysis and Applications 256 (2001), no 2, 556–567 [8] J R L Webb, Positive solutions ... C[0,1] and a subsequence {xnk }+=1 of {xn }+=1 such that xnk → x as k → +∞ n k ¯ Moreover, x is a positive solution of the BVP (1.1λ ) X Xian and D O’Regan Proof Let z0 (t) = for t ∈ [0,1], and ... (1.1λ ) has at least one positive solution The proof is complete Lemma 2.13 Let α(t) and β(t) be lower and upper solutions of (2.1λ ) for some n ∈ N and n λ > 0, ≤ α(t) ≤ β(t) Then (2.1λ ) has at...
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Báo cáo hóa học: "BOUNDEDNESS AND VANISHING OF SOLUTIONS FOR A FORCED DELAY DYNAMIC EQUATION" pot
... behavior of solutions of (1.1) Theorem 3.1 If (H1), (H2), (H3) hold, then every solution of (1.1) goes to zero in the limit Proof If x is a nonoscillatory solution of (1.1), assume without loss of ... delay differential equations, Journal of Mathematical Analysis and Applications 234 (1999), no 1, 77–90 [13] C Qian and Y Sun, Global attractivity of solutions of nonlinear delay differential equations ... 80850, 11 pages [2] D R Anderson and J Hoffacker, Positive periodic time-scale solutions for functional dynamic equations, The Australian Journal of Mathematical Analysis and Applications (2006),...
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Báo cáo hóa học: "CONVERGENCE AND PERIODICITY OF SOLUTIONS FOR A CLASS OF DIFFERENCE SYSTEMS" potx
... 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), which describes the input-output relation of a neuron ... Methods, and Applications, 2nd ed., Monographs and Textbooks in Pure and Applied Mathematics, vol 228, Marcel Dekker, New York, 2000 [2] Y Chen and J Wu, Minimal instability and unstable set of a ... of two-state neurons, Proceedings of the National Academy of Sciences of the United States of America 81 (1984), no 10, 3088–3092 [7] L Huang and J Wu, Dynamics of inhibitory artificial neural networks...
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Báo cáo hóa học: "EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR A CLASS OF SUPERLINEAR p-LAPLACIAN EQUATIONS" potx
... everywhere in Ω (2.15) A class of superlinear p-Laplacian equations Proof of the theorems Proof of Theorem 1.3 It is well known that to seek a nontrivial weak solution of problem (1.1) is equivalent ... 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 ... solutions of problem (1.1) in superlinear case Recently, Zhou has got a positive solution of problem (1.1) for p = in [18] (see [18, Corollary 2.3]) and [19] (see [19, Theorem 1.2]) Then Li and...
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ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS TO BOUNDARY VALUE PROBLEMS ON TIME SCALES JOHNNY pot
... intervals are investigated and some existence theorems are presented The proofs rely on the existence of solutions on finite intervals and so use the theorems of Section A standard diagonalization ... R on [a,σ (b)] (and there may exist further solutions satisfying y(t0 ) ≥ R for some t0 ∈ [a,σ (b)]) Proofs The proofs follow the modification technique of Theorems 3.6 and 3.7 and so are omitted ... to solutions of (3.20), and hence y ≤ max λC ,R ≤ max α C ,R α (3.21) Therefore, all solutions y to (3.20) must satisfy y < max{ C /α,R} + and y ∈ ∂Ω Since f is continuous, T is continuous and...
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EXISTENCE AND UNIQUENESS OF SOLUTIONS OF HIGHER-ORDER ANTIPERIODIC DYNAMIC EQUATIONS ALBERTO CABADA potx
... α and β a pair of coupled lower and upper solutions of (L1 ) Corollary 4.1 Assume that M ∈ R is such that M < 1/µ(t) for all t ∈ I, α and β are a pair of coupled lower and upper solutions of ... will obtain in Sections and the expression of Green’s function and a sufficient condition for the existence and uniqueness of solutions of the dynamic equations of first- and second-order, respectively; ... regressive on I and invertible on Wn , α and β are a pair of coupled lower and upper solutions of the dynamic equation (Ln ) and the function f : I × R → R satisfies hypotheses (H f ) and (H) Then,...
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MULTIDIMENSIONAL KOLMOGOROV-PETROVSKY TEST FOR THE BOUNDARY REGULARITY AND IRREGULARITY OF SOLUTIONS docx
... principal result of this paper is the characterization of the regularity and irregularity of the origin (ᏻ) in terms of the asymptotic behavior of h as t ↑ We write h(t) = 2(t log ρ(t))1/2 , and assume ... The proof is similar to the proof of Lemma 2.1 of [1] Lemma 2.2 The origin (ᏻ) is irregular for Ωδ if and only if there exists an irregularity barrier u for ᏻ regarded as a boundary point of Ωδ ... sufficiently small δ Proof The proof of the “if ” part is standard (see [6]) Take a boundary function f = u at the points near ᏻ (at ᏻ define it by continuity) and f = c at the rest of the boundary with...
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Báo cáo lâm nghiệp: "Merocoenoses of cambioxylophagous insect fauna of Norway spruce (Picea abies [L.] Karst.) with focus on bark beetles (Coleoptera: Scolytidae) and types of tree damage in different gradation conditions" ppsx
... pathogens, lightning and wind-felling, and in the merocoenosis of snags and fragments (tree parts), in spruce stands of different age and in different situations with regard to the occurrence and population ... highest frequency of occurrence of P pityogra- Table The frequency of occurrence and stem cover of some cambioxylophagous insects (%) in standing spruce trees non-infested and infested by fungal ... cambioxylophagous insects typical of branches of the lower part of the crown Also, the effect of physiological stress on the process of branch dying is highly likely and cannot be overlooked Of cambioxylophagous...
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A research to assess community eco-tourism and suggestions of solutions fo sustainable tourism development in Van Don district - Quang Ninh province
... area of 2,171.33 km2, of which the natural land area of 551.33 km2, 1620 km2 of the open sea Island District includes 11 communes and one town of Cai Rong The district has a total of 600 islands ... mountain and island system, wave mode has the differences between barrier islands and inner islands The area of the barrier islands has high waves; the area of the inner islands seldom has storms and ... consultation of local and national managers and professors in tourism The structure of thesis Apart from the introduction, conclusion, list of abbreviations, list of tables, list of references and appendices,...
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A research to assess community ecotourism and suggestions of solutions for sustainable tourism development in Van Don District, Quang Ninh province
... consultation of local and national managers and professors in tourism The structure of thesis Apart from the introduction (7 pages), conclusion (4 pages), list of abbreviations, list of tables, list of ... inner strength of Van Don has not been effectively made advantage; people of the island have a low living standard Though the living standard of many communes is being improved and income from ... Thus, living environment of plants and animals, air quality, water quality and soil environment had unbeneficial changes with the life of plants and animals and humans because of tourist activities...
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Phase behaviour and rheology of solutions of associative polymer and surfactant
... BEHAVIOR AND RHEOLOGY OF SOLUTIONS OF ASSOCIATIVE POLYMER AND SURFACTANT ZHAO GUANGQIANG (B.ENG., SHANGHAI JIAOTONG UNIVERSITY) A THESIS SUBMITTED FOR THE DEGREE OF DOCTOR OF PHILOSOPHY DEPARTMENT OF ... the later part of Chapter These results are nontrivial in our opinion, and hopefully will advance our understanding of the phase behavior of mixed solutions of associative polymer and surfactant ... curves of pure wt% HMHEC solutions at various ix List of Figures temperatures .57 Figure 4.3: Arrhenius plots of zero-shear viscosity of pure 0.4 wt% (square) and wt% (triangle) HMHEC solutions...
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