solution of split boundary value problems
Báo cáo hoa học: " Research Article Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales" pot
... transversality and boundary value problems on time scales,” Journal of Mathematical Analysis and Applications, vol 289, no 1, pp 110–125, 2004 26 Z He, “Existence of two solutions of m-point boundary value ... focal boundary value problems on a measure chain,” Applied Mathematics Letters, vol 18, no 1, pp 41–47, 2005 20 M Feng, X Zhang, and W Ge, “Positive solutions for a class of boundary value problems ... Nieto, and V Otero-Espinar, “Existence and approximation of solution of three-point boundary value problems on time scales,” Journal of Difference Equations and Applications, vol 14, no 7, pp...
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Báo cáo hóa học: " On existence and uniqueness of positive solutions to a class of fractional boundary value problems" pot
... Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of and they proved the existence of positive solutions by means of the Krasnosel’skii ... Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional boundary value problems Boundary Value Problems 2011 2011:25 Page of ... uniqueness of the solution gives us x(t) = The reverse implication is obvious Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of Remark...
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báo cáo hóa học: " On existence and uniqueness of positive solutions to a class of fractional boundary value problems" ppt
... Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of and they proved the existence of positive solutions by means of the Krasnosel’skii ... Caballero et al.: On existence and uniqueness of positive solutions to a class of fractional boundary value problems Boundary Value Problems 2011 2011:25 Page of ... uniqueness of the solution gives us x(t) = The reverse implication is obvious Caballero et al Boundary Value Problems 2011, 2011:25 http://www.boundaryvalueproblems.com/content/2011/1/25 Page of Remark...
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
... where y, z ∈ P and y ≤ τ x , z ≤τ x Boundary Value Problems 3 Singular Third-Order Boundary Value Problem This section discusses singular third-order boundary value problem 1.1 Let P {x ∈ C I ... nonhomogeneous boundary value problems, ” Applied Mathematics Letters, vol 22, no 1, pp 45–51, 2009 J R Graef and J R L Webb, “Third order boundary value problems with nonlocal boundary conditions,” ... “Positive solutions of singular third-order three-point boundary value problem,” Journal of Mathematical Analysis and Applications, vol 306, no 2, pp 589–603, 2005 10 Boundary Value Problems 13 Z...
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Báo cáo hóa học: " Research Article Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation" potx
... pair of order upper and lower solutions of 1.2 , then the boundary value problem 1.2 has at least one solution u t ∈ C3 0, , moreover, u t ≥u t ≥u t , t ∈ 0, 3.1 Boundary Value Problems Proof ... “Existence of solution for a boundary value problem of fractional order,” Acta Mathematica Scientia B, vol 26, no 2, pp 220–228, 2006 S Zhang, “Positive solutions for boundary- value problems of nonlinear ... Sadarangani, “Existence and unqiueness of positive and nondecreasing solutions for a class of singular fractional boundary value problems, ” Boundary Value Problems, vol 2009, Article ID 421310,...
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Báo cáo hóa học: " Research Article Hierarchies of Difference Boundary Value Problems" pptx
... eigenfunctions of the original boundary value problems – to eigenfunctions of the corresponding transformed boundary value problems In particular, if λ1 , , λs l m are the eigenvalues of one of the ... eigenvalue, one less eigenvalue, or the same number of eigenvalues as the original boundary value problem Thus, it is possible to construct a chain, or hierarchy, of difference boundary value problems ... to eigenfunctions of the corresponding transformed boundary value problems In particular, if λ0 , λ1 , , λs l m are the eigenvalues of one of the original boundary value problems, 10 – 12...
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Báo cáo hoa học: " Research Article ¨ Some Basic Difference Equations of Schrodinger Boundary Value Problems" docx
... Obviously, any positive C R -solution ψ of 3.8 satisfies 3.9 Moreover, one can show that these C R -solutions of 3.8 are in L1 R Therefore, the set of positive symmetric solutions to 3.9 which are ... an eigenvalue of X ∗ , hence the point spectrum of X ∗ is C According to the deficiency index structure 1, of the operator X, let us now choose the particular self-adjoint extension Y of X which ... only of interest to applications in mathematical physics but their functional analytic impact will speak for itself The results altogether show that solving the boundary value problems of Schrodinger...
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Báo cáo hóa học: " Research Article Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales" pptx
... positive solutions of dynamic equations on time scales (see, e.g., [1–7]) This work entails an extension of the paper by Chyan and Henderson [8] to eigenvalue problems for systems of nonlinear boundary ... positive solutions of boundary value problems for ordinary differential equations Interest in such solutions is high from a theoretical sense [11–15] and as applications for which only positive solutions ... problems, ” Journal of Mathematical Analysis and Applications, vol 208, no 1, pp 252–259, 1997 [14] L Hu and L Wang, “Multiple positive solutions of boundary value problems for systems of nonlinear...
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Báo cáo hóa học: " Research Article Eigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales" potx
... positive solutions of dynamic equations on time scales (see, e.g., [1–7]) This work entails an extension of the paper by Chyan and Henderson [8] to eigenvalue problems for systems of nonlinear boundary ... positive solutions of boundary value problems for ordinary differential equations Interest in such solutions is high from a theoretical sense [11–15] and as applications for which only positive solutions ... problems, ” Journal of Mathematical Analysis and Applications, vol 208, no 1, pp 252–259, 1997 [14] L Hu and L Wang, “Multiple positive solutions of boundary value problems for systems of nonlinear...
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Báo cáo hóa học: " Research Article Extremal Solutions of Periodic Boundary Value Problems for First-Order Impulsive " ppt
... Therefore, u is the unique solution of PBVP (2.41) The proof of Lemma 2.7 is complete Lemma 2.8 u ∈ Ω is a solution of PBVP (1.1) if and only if u ∈ PC[JT , R] is solution of the following integral ... and v∗ are solutions of PBVP (1.1) in [u0 ,v0 ] Next we prove that u∗ and v∗ are the minimal and maximal solutions of PBVP (1.1) in [u0 ,v0 ] In fact, let w ∈ [u0 ,v0 ] be a solution of PBVP(1.1), ... vol 18, no 1-2, pp 18–56, 1990 [4] J Henderson, “Double solutions of impulsive dynamic boundary value problems on a time scale,” Journal of Difference Equations and Applications, vol 8, no 4, pp...
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MAXIMUM PRINCIPLES FOR A FAMILY OF NONLOCAL BOUNDARY VALUE PROBLEMS PAUL W. ELOE Received 21 October doc
... Nonlocal boundary value problems of the first kind for a SturmLiouville operator in its differential and finite difference aspects, Differ Equ 23 (1987), no 7, 803–810 , Nonlocal boundary value problems of ... with boundary conditions (2.3) P j h has a generalized zero at n − ( j + 2) because of the boundary conditions In addition, because of the nonlocal boundary conditions and repeated applications of ... 0, s ∈ {0, ,b − n} (2.17) Proof The proof requires only a simple extension from the proof of Theorem 2.3 As summarized in the fourth paragraph of the proof of Theorem 2.3, we know that P1 G has...
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Báo cáo toán học: "Using Boundary-Operator Method for Approximate Solution of a Boundary Value Problem (BVP) for Triharmonic Equation" ppsx
... smooth boundary of Ω, ν is the outward normal to Γ and a is a positive number The solvability and smoothness of the solution of problem (1) follows from the general theory of elliptic problems ... defined on pairs of boundary functions w0 and domain functions ϕ z= w0 ϕ by the formula Bz = −a ∂u ∂ν , ϕ − au (5) Boundary- Operator Method for Approximate Solution of Boundary Value Problem 11 ... (13) Boundary- Operator Method for Approximate Solution of Boundary Value Problem 13 u being defined from (6) The complete continuity of B0 is easily followed from the embedding theorems of Sobolev...
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positive solutions of singular boundary value problems
... CHAPTER TWO Singular Boundary Value Problems for Difference Equations This chapter is devoted to the study of solutions of singular boundary value problems for difference equations of the form, (−1)n ... the least of which is this dissertation Thanks! v CHAPTER ONE Introduction In this dissertation we will be concerned with the existence of positive solutions of singular boundary value problems ... by looking for solutions u of singular discrete boundary value problems of the form, (−1)n ∆n u(t−(n−1))+f (t, u(t), , ∆n−1 u(t−(n−1))) = 0, t ∈ [n−1, T +1], (1.1) satisfying boundary conditions,...
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Báo cáo sinh học: " Research Article Approximation of Solution of Some m-Point Boundary Value Problems on Time Scales Rahmat Ali Khan1 and Mohammad Rafique2 1" pot
... uniqueness of solutions to boundary value problems on time scales,” Advances in Difference Equations, vol 2004, no 2, pp 93–109, 2004 12 C C Tisdell and H B Thompson, “On the existence of solutions to boundary ... purpose of this paper is to develop the method of upper and lower solutions and the method of quasilinearization 22–26 Under suitable conditions on f, we obtain a monotone sequence of solutions of ... quadratically to a unique solution of the BVP 1.1 Proof Conditions A1 and A2 ensure the existence of a unique solution x of the BVP 1.1 such that α t ≤x t ≤β t , t ∈ 0, σ 3.5 T In view of 3.4 , we have...
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Báo cáo hóa học: "EXISTENCE OF POSITIVE SOLUTION FOR SECOND-ORDER IMPULSIVE BOUNDARY VALUE PROBLEMS ON INFINITY INTERVALS" docx
... interval boundary value problem, Annali di Matematica Pura ed Applicata Serie Quarta 176 (1999), 379–394 [12] R Ma, Existence of positive solutions for second-order boundary value problems on infinity ... PC [0,n] is a solution of (2.9) if and only if y is a fixed point of the equation y = Ln −1 F y (2.13) We apply the Leray-Schauder continuation theorem to obtain the existence of a solution for ... alternative of Leray-Schauder type [7] guarantees that (Ln )−1 N has a fixed point, that is, (2.9) has a solution yn ∈ PC [0,n], and ≤ yn ≤ M, ≤ yn ≤ M The other proof is similar to the proof of Theorem...
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Báo cáo toán học: " Existence of positive solutions to discrete secondorder boundary value problems with indefinite weight" pptx
... structure of the set of positive solutions of (1.1), (1.2), and obtain the existence of positive solutions of (1.1) and (1.2) Moreover, we can also obtain the existence of negative solutions of (1.1) ... definition of a positive solution and a negative solution of (1.1) and (1.2) Definition 1.1 A positive solution of problem (1.1) and (1.2) refers to a pair (r, u), where r ≠ 0, u is a solution of (1.1) ... characteristic value of T if there exists v Î E, v ≠ 0, such that v = μTv, i.e., μ-1 is a nonzero eigenvalue of T Let r(T) denote the set of real characteristic values of T and Γ denote the closure of the...
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Báo cáo toán học: " Existence of Positive Solutions for Nonlinear m-point Boundary Value Problems on Time Scales" doc
... Kaufmann, ER: Positive solutions of a three-point boundary value problem on a time scale Electron J Diff Equ 82, 1–11 (2003) 11 Chyan, CJ, Henderson, J: Twin solutions of boundary value problems for differential ... composed of N parts of different densities can be set up as a multi-point boundary value problem [3] Many problems in the theory of elastic stability can be handled by the method of multi-point problems ... positive solutions of three-point boundary value problems for p-Laplacian dynamic equations J Comput Appl Math 206, 967–976 (2007) 17 Graef, J, Kong, L: First-order singular boundary value problems...
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Báo cáo hóa học: " On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms" potx
... are lower and upper solutions of (1.1-1.2), respectively Alsaedi and Aqlan Boundary Value Problems 2011, 2011:47 http://www.boundaryvalueproblems.com/content/2011/1/47 Page of 11 (A2) N Î C[J ... Alsaedi and Aqlan Boundary Value Problems 2011, 2011:47 http://www.boundaryvalueproblems.com/content/2011/1/47 Page of 11 success at analyzing and predicting the onset of chaos in speech and ... and Aqlan: On nonlocal three-point boundary value problems of Duffing equation with mixed nonlinear forcing terms Boundary Value Problems 2011 2011:47 Page 11 of 11 ...
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Báo cáo hóa học: " Solvability of boundary value problems with Riemann-Stieltjes Δ-integral conditions for second-order dynamic equations on time scales at resonance" pptx
... Page of 18 problems with integral boundary conditions constitute a very interesting and important class of problems They include two-point, three-point, multipoint and nonlocal boundary value problems ... existence of solutions for boundary value problems with integral boundary conditions on time scales Motivated by the statements above, in this paper, we are concerned with the following boundary value ... Positive solutions of a three-point boundary- value problem on a time scale Elec J Differ Equ 2003(82), 1–11 (2003) Khan, RA, Nieto, JJ, Otero-Espinar, V: Existence and approximation of solution of...
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