bài 18 bộ máy nhà nước cấp cơ sở xã phường thị trấn tt

differential equations crash course - r. bronson

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ONE PARAMETER FAMILY OF LINEAR DIFFERENCE EQUATIONS AND THE STABILITY PROBLEM FOR THE NUMERICAL pdf

... with respect to the continuous initial value problem, it is not necessary to approximate the latter with a discrete problem of the same type In the case of ﬁrst order diﬀerential equation, for ... limitations on the choice of the methods in the class of LMMs used as initial value methods (IVMs) As matter of fact, there are not methods with order greater than two having the critical point asymptotically ... terminology used in Numerical Analysis is often diﬀerent from the one used in the Diﬀerence Equations setting In order to avoid confusion, it is worth to note that the terms such as “stable methods” refer...

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báo cáo hóa học:" Research Article Existence of Positive Solutions of Nonlinear Second-Order Periodic Boundary Value Problems" ppt

Danh mục: Hóa học - Dầu khí

... 2 Boundary Value Problems always has a unique solution which, moreover, can be written as T x t 1.4 G t, s h s ds, where G t, s is the Green’s function related to 1.1 , 1.2 In recent ... 3, we study the existence of one-sign solutions of the nonlinear problem x f t, x , t ∈ 0, T , 1 .18 x x T , x x T The proofs of the main results are based on the properties of G and the Dancer’s ... α s u T −1 u s v 2.17 Applying this and Lemma 2.2 iii , it follows that αs u s v s v −u T v 2 .18 Denote M: max G t, s , 0≤t,s≤T m: G t, s 0≤t,s≤T 2.19 Boundary Value Problems Finally, we state...

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báo cáo hóa học:" Nodal solutions of second-order two-point boundary value problems" potx

Danh mục: Hóa học - Dầu khí

... two-point boundary value problems with nonlinearities across several eigenvalues J Appl Math Lett 18, 587–595 (2005) [4] Rabinowitz, PH: Some global results for nonlinear eigenvalue problems J ... Ma, R, Thompson, B: Nodal solutions for nonlinear eigenvalue problems Nonlinear Anal TMA 59, 707– 718 (2004) [2] Walter, W: Ordinary Diﬀerential Equations Springer, New York (1998) [3] Ma, R, Thompson, ... u(0) = u(1) = 0} with the norm u E = max |u| + max |u | t∈[0,1] t∈[0,1] Deﬁne L : D(L) → Y by setting Lu := −u (t), t ∈ [0, 1], u ∈ D(L), where D(L) = {u ∈ C [0, 1] | u(0) = u(1) = 0} Then L−1...

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Báo cáo hóa học: " Research Article Multiplicity of Positive Periodic Solutions of Singular Semipositone Third-Order Boundary Value Problems" doc

Danh mục: Hóa học - Dầu khí

... Furthermore, unk satisﬁes the integral equation 2π unk t − ω ds G t, s F s, J unk s nk 3.12 Letting k → ∞, we obtain that 2π ut G t, s F s, J u s − ω ds, 3.13 where the uniform continuity of ... integrating 3.2 with λ Fn t, J un t 2π un − ρun 0 ≤ρ 2π ρ n ≥ g0 nρ ≥ g0 un t dt − > ρ2 r ρH 3 .18 from to 2π, we obtain that ρ2 un − Fn t, J un t nρ 2π −ω − ρ2 dt n 3.19 − ω dt < Fn t, J un t ... existence theorem for a singular third-order boundary value problem on 0, ∞ ,” Applied Mathematics Letters, vol 15, no 4, pp 445–451, 2002 12 L Kong, S Wang, and J Wang, “Positive solution of a singular...

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CONSTRUCTION OF UPPER AND LOWER SOLUTIONS FOR SINGULAR DISCRETE INITIAL AND BOUNDARY VALUE PROBLEMS potx

Danh mục: Báo cáo khoa học

... above from k0 to T to obtain u k0 − u(T + 1) ≤ ϕ−1 h(M) p T j =k0 j ϕ−1 p q(k) (2 .18) k=k0 Now (2.15) and (2 .18) imply M− ≤ b0 ϕ−1 h(M) p n0 (2.19) This contradicts (2.3) Thus ≤ u(k) ≤ M n0 ... singular nonlinear boundary value problems for the oneu dimensional p-Laplacian, Appl Math Lett 14 (2001), no 2, 189 –194 214 [10] [11] Discrete initial and boundary value problems R Man´ sevich and ... F Zanolin, Upper and lower solutions for a generalized Emden-Fowler equation, J Math Anal Appl 181 (1994), no 3, 684–700 D Jiang, D O’Regan, and R P Agarwal, A generalized upper and lower solution...

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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

Danh mục: Hóa học - Dầu khí

... Finally, from 18 Boundary Value Problems 2.12 and 2.35 follows that the inequalities x t ≤ x t ˙ ≤ √ 2. 618 x 2.2361 x 6.213 √ x √ 1. 6180 x 4.5945 x ˙ e−0.00001559t/2 0.7071 x ˙ √ 2. 618 √ √ 4.5945 ... λmin G2 takes the form ⎛ 1.3000 ⎜ ⎜ ⎜ 1.1000 ⎜ ⎜ ⎜ ⎜−0.3106 S ⎜ ⎜ ⎜−0 .186 4 ⎜ ⎜ ⎜−0.0300 ⎜ ⎝ −0.0500 1.1000 −0.3106 −0 .186 4 −0.0300 −0.0500 ⎞ ⎟ ⎟ 1.1000 −0.3728 −0.1243 −0.0200 −0.0600⎟ ⎟ ⎟ −0.3728 ... depending on the positive value of β : either β> λmin S λmax H 2 .18 β≤ λmin S λmax H 2.19 is valid or holds 8 Boundary Value Problems Let 2 .18 be valid From 2.3 follows that − x t ≤− V0 x t , t λmax...

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Báo cáo hóa học: "Research Article Existence and Uniqueness of Solutions for Higher-Order Three-Point Boundary Value Problems" ppt

Danh mục: Hóa học - Dầu khí

... Liu, “Solvability of a third-order two-point boundary value problem,” Applied Mathematics Letters, vol 18, no 9, pp 1034–1040, 2005 M R Grossinho and F M Minhos, “Existence result for some third ... Grace, and D O’Regan, “Semipositone higher-order diﬀerential equations,” Applied Mathematics Letters, vol 17, no 2, pp 201–207, 2004 A Cabada, “The method of lower and upper solutions for second, ... and higher order boundary value problems,” Journal of Mathematical Analysis and Applications, vol 185 , no 2, pp 302– 320, 1994 A Cabada, M R Grossinho, and F Minhos, “Extremal solutions for third-order...

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Báo cáo hóa học: "Research Article Asymptotic Representation of the Solutions of Linear Volterra Difference Equations" pdf

Danh mục: Báo cáo khoa học

... Mathematics Letters, vol 16, no 6, pp 857–862, 2003 18 Z H Li, “The asymptotic estimates of solutions of diﬀerence equations,” Journal of Mathematical Analysis and Applications, vol 94, no 1, pp 181 –192, ... ∞ −1 i K i μ−i , 3.17 i iii if G r < 1, then the constant A satisﬁes either ∞ A≥r−1− K i r −i 3 .18 i or ∞ A ≤ −r − − −1 i K i r −i 3.19 i Remark 3.2 Let K : Z →R be a sequence such that K n0 ... \ {0} and K i : qi , i ∈ Z Then, 3.7 has the following form: n Δx n Ax n qn−j x j n∈Z g n, 4 .18 j −∞ It is clear that r : limn→∞ |qn |1/n Gμ |q|, and the function G deﬁned in 3.13 is given...

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Báo cáo hóa học: "EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR SOME THREE-POINT NONLINEAR BOUNDARY VALUE PROBLEMS" pptx

Danh mục: Báo cáo khoa học

... q1,τ (η) p0,τ (s) a(s)x(s)ds p0,τ (1) + ≥ q1,τ (η) p0,τ (1) − γ p0,τ (η) (Lτ x)(η) = η p0,τ (η) (2 .18) p0,τ (s)a(s)x(s)ds, η q1,τ (η) p0,τ (s) a(s)x(s)ds p0,τ (1) + p0,τ (η) p0,τ (1) − γ p0,τ (η) ... η p0,τ (η) q1,τ (s) a(s)x(s)ds q1,τ (0) η q1,τ (s)a(s)x(s)ds (2.19) X Xian and D O’Regan By (2 .18) and Lemma 2.6, we have for any t ∈ [0,η], Lτ x (t) = t qη,τ (t) p0,τ (s) a(s)x(s)ds p0,τ (η) ... and (3.17), we have Tλ x (t) ≤ Tλ x0 (t) + τ0 τ LλM z0 (t) ≤ u∗ (t) − LλM z0 (t), 2 t ∈ [0,1], (3 .18) for any x ∈ QλM with x − x0 < δ This implies that x ∈ Ωλ , and so Ωλ is an open set Now we will...

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Báo cáo hóa học: "REPRESENTATION OF SOLUTIONS OF LINEAR DISCRETE SYSTEMS WITH CONSTANT COEFFICIENTS AND PURE DELAY" ppt

Danh mục: Báo cáo khoa học

... omitted) we suppose that all used expressions are well deﬁned Lemma 3.4 Let a function F(k,n) of two discrete variables be given Then Δk k k F(k, j) = F(k + 1,k + 1) + j =1 j =1 Δk F(k, j) (3 .18) ... it by the method of steps, we conclude that the solution of the problem (2.1), (2.2) can be written in the form ⎧ ⎪1 if k ∈ Z0 , ⎪ − ⎪ ⎪ ⎪ ⎪ ⎪ k ⎪ ⎪1 + b · if k ∈ Z4 , ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ k k−3 ... (2.17) Now we change the index of summation j by j + Then ΔeBk = B I + m −1 Bj · j =1 k − jm j (2 .18) and due to (2.15) we conclude that formula (2.16) is valid The case k = (m + 1) In this case...

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Báo cáo hóa học: "Research Article Periodic and Almost Periodic Solutions of Functional Difference Equations with Finite Delay" pdf

Danh mục: Báo cáo khoa học

... authors (see, e.g., [2, 18] ), and present some related properties for our purposes For almost periodic and asymptotically almost periodic functions, we recommend [19, 18] Let X and Y be two Banach ... : Z+ → X a The proof of the above results is omitted here because it is not diﬃcult for readers giving proofs by the similar arguments in [19, 18] for continuous (uniformly) almost periodic function ... by Theorem 3.1, then u(n) = p(n) + q(n), n ≥ 0, (3 .18) where { p(n)}n∈Z is almost periodic and q(n) → as n → ∞ It follows from (3.17) and (3 .18) that → p(n) − p(n + mω) − as n −→ ∞, (3.19) which...

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Báo cáo hóa học: "SECOND-ORDER ESTIMATES FOR BOUNDARY BLOWUP SOLUTIONS OF SPECIAL ELLIPTIC EQUATIONS CLAUDIA ANEDDA, ANNA BUTTU, AND GIOVANNI " pot

Danh mục: Báo cáo khoa học

... de l’Hˆ pital’s rule Using (2.11), (2.10) can be rewritten o as 2F(s) 1/2 f (s) −1 ∞ = 2F(t) s −1/2 dt + O(1)s−β ∞ s 2F(t) −1/2 dt (2.13) Putting s = Φ(δ) and using the equation −Φ (δ) = (2F(Φ(δ)))1/2 ... write Φ instead of Φ(δ) and Φ instead of Φ (δ) Lemma 2.3 yields −Φ = + O(1)Φ−β δ f (Φ) (2 .18) Using (2 .18) and the equation Φ = −(2F(Φ))1/2 we ﬁnd lim δ →0 Φ(δ) δ Φ(δ) 1−β −β f (Φ) = lim δ →0 ... 2F(s) −1/2 dt −1/2 = (3.9) Using (3.9), (3.8) can be rewritten as 2F(s) 1/2 f (s) −1 = ∞ s 2F(t) −1/2 dt + O(1)e−s ∞ s 2F(t) −1/2 dt (3.10) Putting s = Ψ(δ) and recalling that −Ψ (δ) = (2F(Ψ(δ)))1/2...

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ON THE SOLVABILITY OF INITIAL-VALUE PROBLEMS FOR NONLINEAR IMPLICIT DIFFERENCE EQUATIONS PHAM KY ANH pdf

Danh mục: Báo cáo khoa học

... respectively As in the DAEs case, we only need to initialize the P0 -component of x0 Further, putting n = in (2.8) and noting that V−1 = V0 , u0 = P−1 x0 = P0 x0 , we ﬁnd that a consistent initial ... 1085–1105 R M¨ rz, On linear diﬀerential-algebraic equations and linearizations, Appl Numer Math 18 a (1995), no 1–3, 267–292 Pham Ky Anh: Department of Mathematics, Mechanics, and Informatics,...

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NONOSCILLATORY HALF-LINEAR DIFFERENCE EQUATIONS AND RECESSIVE SOLUTIONS ˇ ´ MARIELLA CECCHI, pdf

Danh mục: Báo cáo khoa học

... vn+1 or ∆vn + wn vn+1 ≥ Since wn ≥ and ∞ n=N wn < ∞, we have < ∞ −1 j =N (1 + w j ) (2.10) < ∞ Putting ∞ hn = , + wj j =n (2.11) we have hn > and ∆hn = hn wn Multiplying (2.10) by hn , we obtain ... bk Φ xk+1 − Φ zk+1 ≤H k=n ∞ ≤ HM bk Ak+1 k=n p−2 ∞ Φ∗ a j j =k+1 Φ∗ z[1] − Φ∗ x[1] j j (3.15) Putting un = sup [1] [1] Φ∗ xk − Φ∗ zk :k≥n , (3.16) 200 Recessive solutions for half-linear equations ... solutions of (1.1) such that lim un = lim wn = 0, n n lim u[1] = cu , n n [1] lim wn = dw , n (3 .18) where cu ,dw ∈ R \ {0}, then there exists λ ∈ R \ {0} such that u = λw Proof Let z = {zn } be...

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Tài liệu Solution of Linear Algebraic Equations part 1 docx

Danh mục: Kỹ thuật lập trình

... Equation (2.0.1) can be written in matrix form as A·x=b (2.0.2) Here the raised dot denotes matrix multiplication, A is the matrix of coefﬁcients, and b is the right-hand side written as a column vector, ... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk ... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk...

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Tài liệu Solution of Linear Algebraic Equations part 2 ppt

Danh mục: Kỹ thuật lập trình

... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk ... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk ... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk...

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Tài liệu Solution of Linear Algebraic Equations part 11 ppt

Danh mục: Kỹ thuật lập trình

... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk ... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk ... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk...

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Tài liệu Solution of Linear Algebraic Equations part 3 pdf

Danh mục: Kỹ thuật lập trình

... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk ... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk...

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Tài liệu Solution of Linear Algebraic Equations part 4 docx

Danh mục: Kỹ thuật lập trình

... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk ... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk ... any servercomputer, is strictly prohibited To order Numerical Recipes books,diskettes, or CDROMs visit website http://www.nr.com or call 1-800-872-7423 (North America only),or send email to trade@cup.cam.ac.uk...

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