simple two point boundary value problems

... Astronomical Society, vol 151, pp 351–364 [1] Keller, H.B 1968,Numerical Methods for Two-Point Boundary-Value Problems(Waltham, MA: Blaisdell) Kippenhan, R., Weigert, A., and Hofmeister, E 1968, ... (ISBN 0-521-43108-5)mesh of m = 41 points, that is, h = 025 As we shall see, this gives good accuracy for the eigenvalues up to moderate values of n − m. Since the boundary condition at x = 0 does ... eigenvalue the same in the two intervals, then v1[1] will stay equal to v2[2] during the iteration The function score simply checks whether all three function values match at the fitting point.

Ngày tải lên: 21/01/2014, 18:20

... T R A C T Two families of certain nonsymmetric generalized Jacobi polynomials with negative integer indexes are employed for solving third- and fifth-order two point boundary value problems gov-erned ... Trang 1ORIGINAL ARTICLENew algorithms for solving third- and fifth-order two point boundary value problems based on nonsymmetric generalized Jacobi Petrov–Galerkin method E.H Doha a, ... third and fifth-order boundary value problems based on the application of the spec-tral method namely Petrov–Galerkin method In these two articles, the authors have employed two new families of

Ngày tải lên: 13/01/2020, 11:14

... method for solving boundary value problems for the nonlinear fourth-order differential equations Boundary value problems for the nonlinear fourth order equations with dif-ferent boundary conditions ... boundary value problems, the development of applied fields such as mechanics, physics, biology, etc always yields complex new problems for the equations as well as boundary conditions These problems ... decide a subject for this dissertation with the title ”Iterative method for solving two-point boundary value problems for fourth-order differential equations and systems” Trang 52 Objectives and

Ngày tải lên: 01/04/2021, 19:17

... positive solutions for fourth-order semipositone multi-point boundary value problems with a sign-changing nonlinear term Boundary Value Problems 2012, 2012:12 doi:10.1186/1687-2770-2012-12 Yan ... copyright notice below) For information about publishing your research in Boundary Value Problems go to http://www.boundaryvalueproblems.com/authors/instructions/ For information about other SpringerOpen ... the following semipositone elastic beam equation boundary value problem Trang 4positive solutions for more general multi-point boundary value problemsInspired and motivated greatly by the above

Ngày tải lên: 21/06/2014, 17:20

... 2Multi-point boundary value problems for ordinary differential equations arise in different areas of applied mathematics and physics The existence of solutions of the second order multi-point boundary ... this paper investigates the existence of nodal solutions for a class of fourth-order m-point boundary value problems Our results improve those in the literature. Copyrightq 2009 Y Liu and D O’Regan ... studied the existence and multiplicity of nontrivial solutions for the fourth order m-point boundary value problems: u4t  fu t, ut, t ∈ 0, 1 u 0  0, u1 m−2 i1 αiu ηi u0

Ngày tải lên: 21/06/2014, 20:20

... pagesdoi:10.1155/2009/169321 Research Article The Existence of Positive Solutions for Third-Order p-Laplacian m-Point Boundary Value Problems with Sign Changing Nonlinearity on Time Scales Fuyi Xu and Zhaowei Meng School ... June 2009 Recommended by Alberto Cabada We study the following third-order p-Laplacian m-point boundary value problems on time scales φ p uΔ∇∇  atft, ut  0, t ∈ 0, T Tκ , u0  m−2 ... the study of insect population models, neural networks, heat transfer, and epidemic models, see, for example 2 6 Recently, the boundary value problems with p-Laplacian operator have also been

Ngày tải lên: 21/06/2014, 20:20

... fixed point theorem with properties of Green’s function, this paper shows the existence of multiple positive solutions for a class of m-point second-order Sturm-Liouville-like boundary value problems ... second-order two-point impulsive singular differential equations boundary value problem: y n j 1 a j t x α j 0, 0 < t < 1, t / t1 , Δy| t t1 Iy t1, y 0 y 1 0. 1.5 By means of fixed point ... population models, neural networks, heat transfer, and epidemic models; see, for example, 10, 11 For some other excellent results and applications of the case that boundary value problems on time scales

Ngày tải lên: 21/06/2014, 20:20

... second-order three-point boundary value problems,” Applied Mathematics Letters, vol 14, no 1, pp 1–5, 2001. 4 Y Guo and W Ge, “Positive solutions for three-point boundary value problems with dependence ... three-point boundary value problem on the half-line,” Computers & Mathematics with Applications, vol 53, no 7, pp 1029–1039, 2007. 14 M Zima, “On positive solutions of boundary value problems ... third-order boundary value problem on0, ∞,” Applied Mathematics Letters, vol 15, no 4, pp 445–451, 2002. 9 R Ma, “Existence of positive solution for second-order boundary value problems on

Ngày tải lên: 21/06/2014, 20:20

... Article Existence and Uniqueness of Smooth Positive Solutions to a Class of Singular m-Point Boundary Value Problems Xinsheng Du and Zengqin Zhao School of Mathematics Sciences, Qufu Normal University, ... investigates the existence and uniqueness of smooth positive solutions to a class of singular m-point boundary value problems of second-order ordinary differential equations A necessary and sufficient condition ... existence and uniqueness of positive solutions to a class of second-order singular m-point boundary value problems of the following differential equation: −ut  ft, ut, ut, t ∈ 0, 1,

Ngày tải lên: 21/06/2014, 20:20

... Hindawi Publishing Corporation Boundary Value Problems Volume 2009, Article ID 287834, 12 pages doi:10.1155/2009/287834 Research Article The Solution of Two-Point Boundary Value Problem of a Class ... L2 0, π , Rn and norm u u, u π u t , u t dt 1/2 , respectively 2.10 Boundary Value Problems Now, we consider the boundary value problem ⎧ ⎨u g t, u Au ⎩u a, t ∈ 0, π , h t , u π 2.11 b, where ... removed and B u is not necessarily commuting with the operator A In this note, we consider a two-point boundary value problem of a class of Duffingtype systems with non-C1 perturbation term and present

Ngày tải lên: 21/06/2014, 20:20

... Higher-order boundary value problems were discussed in many papers in recent years; for the above-mentioned references are for two-point boundary conditions2 11,14,17–22, and nonlinear three point boundary ... concerned with the higher-order nonlinear three-point boundary value problems: x n  f t, x, x, , x n−1 , n ≥ 3, with the three point boundary conditions gxa, xa, , x n−1 ... uniqueness of solutions for higher order nonlinear three point boundary value problem x n  ft, x, x, , x n−1 Trang 2with nonlinear three point boundary conditionsg x a, xa, , x n−1

Ngày tải lên: 21/06/2014, 20:20

... solution of multipoint boundary value problems, we can see4 7 Of course an interesting question is, as for m-point boundary value problems, when Theorem 1.2 We consider the eigenvalue problems u ... eigenvalue problems,” Applied Mathematics Letters, 2007. 3 R Ma and D O’Regan, “Nodal solutions for second-order m-point boundary value problems with nonlinearities across several eigenvalues,” ... m-point, boundary value prob-lems,” Nonlinear Analysis: Theory, Methods & Applications, vol 67, no 12, pp 3318–3327, 2007. 5 R Ma, “Nodal solutions for a second-order m-point boundary value

Ngày tải lên: 22/06/2014, 06:20

... m -point boundary value problems, ” Boundary Value Problems, vol 2008, Article ID 254593, 10 pages, 2008 14 Z Yang, “Existence and uniqueness of positive solutions for higher order boundary value ... of a fourth-order boundary value problem,” Applied Mathematics and Computation, vol 168, no 2, pp 1219–1231, 2005 R Ma, “Nodal solutions for a fourth-order two- point boundary value problem,” Journal ... order boundary value problem,” Journal of Computational and Applied Mathematics, vol 10, no 2, pp 203–217, 1984 R Ma and H P Wu, “Positive solutions of a fourth-order two- point boundary value...

Ngày tải lên: 21/06/2014, 16:20

... second-order 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 ... study the existence and multiplicity of nodal solutions of the nonlinear second-order two- point boundary value problems, u + f (t, u) = 0, t ∈ (0, 1), u(0) = u(1) = The proof of our main results ... Nodal solutions of second-order two- point boundary value problems Ruyun Ma, Bianxia Yang and Guowei Dai∗ Department of Mathematics, Northwest...

Ngày tải lên: 21/06/2014, 17:20

... Stochastics and Stochastics Reports, vol 37, no 1-2, pp 61–74, 1991 [4] Z Wu, “One kind of two- point boundary value problems associated with ordinary equations and application,” Journal of Shandong University, ... has a unique fixed point (x(·), p(·)) that is a solution of (3.2) Therefore, (3.2) has a solution for any β ∈ [β0 ,β0 + δ] The proof of the lemma is complete 8 Boundary Value Problems Lemma 3.2 ... that such a δ > can be chosen independently of β0 Then J is a contraction in this case 6 Boundary Value Problems Case (α1 = and α2 > 0) Apply the variation of constants formula to the equation...

Ngày tải lên: 21/06/2014, 22:20

... singular boundary value problems for ordinary differential equations, Tbilisi University Press, Tbilisi, 1975 , Some optimal conditions for the solvability of two- point singular boundary value problems, ... T Kiguradze, On a singular boundary value problem, Journal of Mathematical Analysis and Applications 30 (1970), no 3, 475–489 , On a singular multi -point boundary value problem, Annali di Matematica ... 259–281, Functional differential equations and applications (Beer-Sheva, 2002) , On two- point boundary value problems for higher order singular ordinary differential [7] equations, Georgian Academy...

Ngày tải lên: 23/06/2014, 00:20