flow rate boundary conditions
Báo cáo " On equations of motion, boundary conditions and conserved energy-momentum of the rigid string " doc
... equations of the motion and the boundary conditions for the open rigid string follow from the requirement δS = ⇔ Λµ (τ, σ) = 0, (10) for the any variation δxµ obeying following conditions δxµ (τ, σ) = ... ∂xµ,1 ∂L ∂xµ,1i , (16) and the following boundary conditions where and Cµ (τ, σ) = ∂l ∂xµ,11 (17) In the case of the closed string δµ (τ, σ) obey the conditions δµµ (τ, σ = 0) = δµ (τ, σ = σπ) ... sheet with following conditions ˙ ˙ ˙ xx′ = 0, x2 > 0, x′2 < 0, x2 = −x′2 (30) 2 2xµ = ⇔ ∂0 − ∂1 xµ (τ, σ) = (31) The functions Bµ (τ, σ), Cµ (τ, σ) which appear in boundary conditions in the case...
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TECHNICAL GUIDELINES (WATER MANAGEMENT CONCEPT) FOR PAPER MAKERS IN EUROPEAN REGIONS WITH DIFFICULT BOUNDARY CONDITIONS ON HOW TO OPERATE MILLS WITH MINIMUM WATER USE pdf
... The white water filtrate is typically collected as two separate, cloudy and clear fractions In some cases, even a super clear fraction has been separated The super clear filtrate from a disk filter ... in typical European regions with difficult boundary conditions with regard to water use All methods mentioned are therefore adapted to these specific conditions Their implementation is a success ... PAPERBREF1 is the water management concept about how to operate mills with minimum water use in European regions with difficult boundary conditions This concept is based upon studies performed in...
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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
... Laplacian with nonlinear boundary conditions see [26–30], for elliptic systems with nonlinear boundary conditions see [31, 32], for the p-Laplacian with nonlinear boundary conditions of different ... with Dirichlet boundary value problems have been studied by Dai and Hao [24], and much weaker conditions have been given by Fan [25] The elliptic problems with nonlinear boundary conditions have ... p(x)-Laplacian with nonlinear boundary conditions see [38–40] Motivated by above, we focus the case of nonlocal p(x)-Laplacian problems with nonlinear Neumann boundary conditions This is a new topics...
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Báo cáo hóa học: " Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions" pptx
... Ahmad and Nieto Boundary Value Problems 2011, 2011:36 http://www.boundaryvalueproblems.com/content/2011/1/36 Page of flow phenomena, aerodynamics, fitting of experimental ... Ahmad, B, Nieto, JJ: Existence results for nonlinear boundary value problems of fractional integrodifferential equations with integral boundary conditions Bound Value Probl 2009, 11 (2009) (Article ... equations with three-point boundary conditions Comput Math Appl 58, 1838–1843 (2009) doi:10.1016/j.camwa.2009.07.091 Ahmad, B, Nieto, JJ: Existence of solutions for anti-periodic boundary value problems...
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báo cáo hóa học: " Spatial estimates for a class of hyperbolic equations with nonlinear dissipative boundary conditions" doc
... with nonlinear boundary conditions Nonlinear Anal 35, 269–286 (1999) doi:10.1016/S0362-546X(98)00034-0 15 Quintanilla, R: On the spatial blow-up and decay for some nonlinear boundary conditions Z ... equation under nonlinear boundary conditions In our study, we establish Phragmén-Lindelöf type theorems for equation (1.1) with nonlinear dissipative feedback terms on the boundary Our study is ... Tahamtani and Peyravi Boundary Value Problems 2011, 2011:19 http://www.boundaryvalueproblems.com/content/2011/1/19 Page of Theorem Consider the equation (1.1) subject to the conditions u(x’, 0,...
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báo cáo hóa học: " Non-Newtonian polytropic filtration systems with nonlinear boundary conditions" pot
... nonlinear boundary conditions J Differential Equations 166, 251–265 (2000) doi:10.1006/jdeq.2000.3784 13 Wang, S: Doubly nonlinear degenerate parabolic systems with coupled nonlinear boundary conditions ... equations with nonlinear boundary conditions Acta Math Sinica (in Chinese) 39, 118–124 (1996) Wang, MX, Wang, YM: Reaction diffusion systems with nonlinear boundary conditions Sci China A 27, ... systems with nonlinear boundary conditions J Math Anal Appl 231, 21–33 (1999) doi:10.1006/jmaa.1998.6220 11 Wang, MX: Fast-slow diffusion systems with nonlinear boundary conditions Nonlinear Anal...
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Báo cáo hóa học: " Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions" potx
... boundary conditions, ” Boundary Value Problems, vol 2011, Article ID 720702, 20 pages, 2011 25 M Feng, D Ji, and W Ge, “Positive solutions for a class of boundary- value problem with integral boundary ... equations with integral boundary conditions, ” Boundary Value Problems, vol 2009, Article ID 708576, 11 pages, 2009 12 Z Bai, “On positive solutions of a nonlocal fractional boundary value problem,” ... anti-periodic boundary conditions, ” Nonlinear Analysis Theory, Methods & Applications, vol 69, no 10, pp 3291–3298, 2008 11 B Ahmad and J J Nieto, “Existence results for nonlinear boundary value...
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Báo cáo hóa học: " Research Article Multiple Solutions of p-Laplacian with Neumann and Robin Boundary Conditions for Both Resonance and Oscillation Problem" pdf
... J ∈ C2 M, R , and a critical point u is called nondegenerate if the Hessian J u at this point has a bounded inverse Let u be a nondegenerate critical point of J; we call the dimension of the negative ... Equations and Applications, cı vol 11, no 2, pp 259–270, 2004 19 G M Lieberman, Boundary regularity for solutions of degenerate elliptic equations,” Nonlinear Analysis: Theory, Methods & Applications, ... number, i ≥ 2, f− x, t , f x, t denote the left and the right derivatives of f at t, respectively Boundary Value Problems f x, − α, f− x, − α for i is an even number, i ≥ For a, b ∈ R2 , f4 Let...
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báo cáo hóa học:" Research Article Fractional-Order Variational Calculus with Generalized Boundary Conditions" doc
... then we get the boundary t−x Γ γ γ−1 ∂L dt ∂y b 3.18 Sufficient Conditions In this section, we prove the sufficient conditions that ensure the existence of a minimum maximum Some conditions of convexity ... Euler-Lagrange equations with the natural boundary conditions Here we develop the theory of fractional variational calculus further by proving the necessary optimality conditions for more general problems ... −D α , Db− α 1, 2, 3, 2.5 Necessary Optimality Conditions 3.1 Necessary Optimality Conditions for Problem 1.1 To develop the necessary conditions for the extremum for 1.1 , assume that y∗...
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báo cáo hóa học:" Research Article A Remark on the Blowup of Solutions to the Laplace Equations with Nonlinear Dynamical Boundary Conditions" pdf
... 10 Boundary Value Problems and the corresponding boundary conditions ∂2 u ∂t2 k x ∂u k x ∂n bu ∂u ∂n 0, g u , on S1 × 0, T , 2.49 b x ≥ 0, on S2 × 0, T Acknowledgments The authors are very grateful ... dynamic boundary conditions, ” Proceedings of the Royal Society of Edinburgh Section A, vol 113, no 1-2, pp 43–60, 1989 M Kirane, “Blow-up for some equations with semilinear dynamical boundary conditions ... dynamical boundary conditions, ” Proceedings of the London Mathematical Society, vol 93, no 2, pp 418–446, 2006 31 Z Yin, “Global existence for elliptic equations with dynamic boundary conditions, ”...
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báo cáo hóa học:" Research Article Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions" pptx
... / tj , a.e t ∈ 0, T , the limits u tj , u t− , and j Boundary Value Problems j 1, 2, , p exist, and impulsive conditions and boundary conditions in problem 1.1 hold, we say it is a classical ... 71, no 7-8, pp 2856–2865, 2009 16 Boundary Value Problems 16 J Sun and H Chen, “Variational method to the impulsive equation with Neumann boundary conditions, ” Boundary Value Problems, vol 2009, ... 4.4 Consider boundary value problem u t λ u t − t u t −Δu tj u − u tj , uπ t / tj , a.e t ∈ 0, π , 0, j 1, 2, 4.7 Boundary Value Problems r Let σ1 √ 1/4 π, 1, it is easy to see that conditions...
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báo cáo hóa học:" Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions" pptx
... m-point boundary value problems,” Boundary Value Problems, vol 2009, Article ID 191627, 13 pages, 2009 J R Graef and J R L Webb, “Third order boundary value problems with nonlocal boundary conditions, ” ... ⎪ ⎨ v if u ≥ v ≥ 0, ⎪ v ⎪ ⎪ ⎩ u if v ≥ u ≥ b f t, v, v , 1.6 Boundary Value Problems Boundary value problems with integral boundary conditions arise in variety of different areas of applied mathematics ... suitable conditions in this direction To the author’s knowledge, there are no necessary and sufficient conditions available in the literature for the existence of solutions for integral boundary...
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báo cáo hóa học:" Research Article Monotone Positive Solution of Nonlinear Third-Order BVP with Integral Boundary Conditions" potx
... fourth-order BVPs with integral boundary conditions, one can refer to 20–24 In this paper, we are concerned with the following third-order BVP with integral boundary conditions u t f t, u t , u ... nonlocal boundary value problem,” Discrete and Continuous Dynamical Systems Series S, vol 1, no 1, pp 89–97, 2008 20 A Boucherif, “Second-order boundary value problems with integral boundary conditions, ” ... “Second order singular boundary value problems with integral boundary conditions, ” Nonlinear Analysis: Theory, Methods & Applications, vol 72, no 5, pp 2628–2638, 2010 12 Boundary Value Problems...
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báo cáo hóa học:" Research Article Second-Order Boundary Value Problem with Integral Boundary Conditions" docx
... boundary conditions, ” Boundary Value Problems, vol 2009, Article ID 708576, 11 pages, 2009 A Belarbi and M Benchohra, “Existence results for nonlinear boundary- value problems with integral boundary conditions, ” ... with integral boundary conditions, ” The Rocky Mountain Journal of Mathematics, vol 40, no 1, pp 13–26, 2010 G Infante, “Nonlocal boundary value problems with two nonlinear boundary conditions, ” ... integral boundary conditions, ” Georgian Mathematical Journal, vol 1, pp 243–249, 1994 11 M Denche and A L Marhoune, “High order mixed-type differential equations with weighted integral boundary conditions, ”...
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báo cáo hóa học:" Research Article A Note on a Beam Equation with Nonlinear Boundary Conditions" doc
... subject to our boundary conditions in the case n In the choice a, b 1/4, 3/4 gives the values η and μ 164 which replace our constants m and M 1/2, in the growth conditions of f The growth conditions ... involving Riemann-Stieltjes integrals The conditions 1.5 - 1.6 cover a variety of cases and include, as special cases when H2 w w, multipoint and integral boundary conditions These are widely studied ... 2 Boundary Value Problems Multipoint versions of this problem have a physical interpretation For example, the four-point boundary conditions u 0, u 0, u H1 u τ ,...
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báo cáo hóa học:" Research Article Green’s Function for Discrete Second-Order Problems with Nonlocal Boundary Conditions ˇ Svetlana Roman and Arturas Stikonas ¯" pptx
... nonlocal boundary conditions if the general solution of a homogeneous equation is known Applications to Problems with NBC Let us investigate Green’s function for the problem with nonlocal boundary conditions ... problems with nonlocal boundary conditions NBC in this form, where i κm , u : κi , ui , m 0, 1, is a classical part and ßm , u : ßm , ui , m 0, 1, is a nonlocal m part of boundary conditions 0, then ... with various boundary conditions as well as additional conditions All the results of this paper can be easily generalized to the n-order difference equation with n additional functional conditions...
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Báo cáo sinh học: " Research Article Existence of Solutions for Nonlinear Fractional Integro-Differential Equations with Three-Point Nonlocal Fractional Boundary Conditions" docx
... remark that fractional boundary conditions result in the existence of both electric and magnetic surface currents on the strip and are similar to the impedance boundary conditions with pure imaginary ... integro-differential equation with fractional boundary conditions: D2 x t D1/2 x f t, x t , φx t , ψx t 0, aD1/2 x 0, < t < 1, 4.3 x η 0, < η < Acknowledgment The authors are grateful to the referees for their ... boundary conditions and comparison with the impedance strip,” Progress In Electromagnetics Research C, vol 2, pp 189–205, 2008 13 B Ahmad and J J Nieto, “Existence of solutions for nonlocal boundary...
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Báo cáo sinh học: " Research Article A Double S-Shaped Bifurcation Curve for a Reaction-Diffusion Model with Nonlinear Boundary Conditions" doc
... 2007 Boundary Value Problems 23 R S Cantrell, C Cosner, and S Mart´nez, “Global bifurcation of solutions to diffusive logistic ı equations on bounded domains subject to nonlinear boundary conditions, ” ... purpose of this paper is to extend this study to the nonlinear boundary condition 1.5 , namely, when α x, u u u on part of the boundary Firstly, we discuss the case when n > 1, Ω Rn , n ≥ 1, ... solutions Boundary Value Problems 1, Ω Secondly, we present results for the case when n ⎧ ⎪0, ⎨ 0, , f u x u ; β > 0, and 0, ⎪ u ⎩ , x u α x, u eβu/ β 1.9 Thus, we study the nonlinear boundary...
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Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions" potx
... fractional integrodifferential equations with integral boundary conditions, ” Boundary Value Problems, vol 2009, Article ID 708576, p 11, 2009 Boundary Value Problems 19 36 J R L Webb, G Infante, ... 2010 X Zhang, X Yang, and W Ge, “Positive solutions of nth-order impulsive boundary value problems with integral boundary conditions in Banach spaces,” Nonlinear Analysis Theory, Methods & Applications, ... value problems with integral boundary conditions and one-dimensional p-Laplacian,” Nonlinear Analysis Theory, Methods & Applications, vol 70, no 9, pp 3119–3126, 2009 18 Boundary Value Problems 11...
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Báo cáo sinh học: " Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian" ppt
... their relation with boundaryvalue problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23 On the other hand, boundary- value problems with integral boundary conditions constitute ... approach, Webb et al 45 considered the widely studied boundary conditions corresponding to clamped and hinged ends and many nonlocal boundary conditions and established excellent existence results ... we discuss the impulsive boundary value problem with integral boundary conditions, that is, problem 1.6 includes fourth-order two-, three-, multipoint, and nonlocal boundary value problems as...
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