SIMPLE TWO POINT BOUNDARY VALUE PROBLEMS

TWO-POINT BOUNDARY VALUE PROBLEMS FORHIGHER-ORDER LINEAR DIFFERENTIAL EQUATIONSWITH STRONG SINGULARITIESR. P. AGARWAL AND I. KIGURADZEReceived 4 April 2004; Revised 11 Decembe r 2004; Accepted 14 December 2004For strongly singular higher-order linear differential eq[r]

are also given in this article.AMS Subject Classification: 34B10; 34B18; 39A10.1Keywords: positive solutions; cone; multi-point; boundary value problem; time scale.1 IntroductionThe study of dynamic equations on time scales goes back to its founder Hilger [1], and is anew area of[r]

, vol. 151, pp. 351–364.Kippenhan, R., Weigert, A., and Hofmeister, E. 1968, inMethods in Computational Physics,vol. 7 (New York: Academic Press), pp. 129ff.17.6 Handling Internal Boundary Conditionsor Singular PointsSingularities can occur in the interiors of two point bound[r]

(iii)a starting vector v[1..n2]; (iv) a function derivs for the ODE integration; andother obvious parameters as described in the header comment above.In §17.4 we give a sample program illustrating how to use shoot.CITED REFERENCES AND FURTHER READING:Acton, F.S. 1970,Numerical Methods That Work; 199[r]

760Chapter 17. Two Point Boundary Value ProblemsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission i[r]

j,n∆yn,M= −Ej,M+1,j=1,2,...,n2(17.3.11)764Chapter 17. Two Point Boundary Value ProblemsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by N[r]

2005.19 F. M. Atici, P. W. Eloe, and B. Kaymakc¸ alan, “The quasilinearization method for boundary valueproblems on time scales,” Journal of Mathematical Analysis and Applications, vol. 276, no. 1, pp. 357–372,2002.20 F. M. Atici and S. G. Topal, “The generalized quasilinearization method[r]

point index theory in cone and constructing some available integral operators to-gether with approximating technique. They guarantee the existence of at least onepositive solution for nonlinear fourth-order semipositone multi-point boundary valueproblems. The interesting poin[r]

are also given in this article.AMS Subject Classification: 34B10; 34B18; 39A10.1Keywords: positive solutions; cone; multi-point; boundary value problem; time scale.1 IntroductionThe study of dynamic equations on time scales goes back to its founder Hilger [1], and is anew area of[r]

dx=dQdqdqdx(17.5.6)784Chapter 17. Two Point Boundary Value ProblemsSample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Sof[r]

are also given in this article.AMS Subject Classification: 34B10; 34B18; 39A10.1Keywords: positive solutions; cone; multi-point; boundary value problem; time scale.1 IntroductionThe study of dynamic equations on time scales goes back to its founder Hilger [1], and is anew area of[r]

Hindawi Publishing CorporationBoundary Value ProblemsVolume 2007, Article ID 27621, 17 pagesdoi:10.1155/2007/27621Research ArticleSolvability for a Class of Abstract Two-Point Boundary ValueProblems Derived from Optimal ControlLianwen WangReceived 21 February 2007; Accept[r]

∈ R 1 ≤ j ≤ m − 2,m≥ 4,0<η1<η2< ··· <ηm−2< 1, 0 <ξ<1, all theβ−s−jhave not the same sign. We also give some examples to demonstrate our results.Copyright q 2008 Y. Gao and M. Pei. This is an open access article distributed under the CreativeCommons[r]

Hindawi Publishing CorporationBoundary Value ProblemsVolume 2007, Article ID 27621, 17 pagesdoi:10.1155/2007/27621Research ArticleSolvability for a Class of Abstract Two-Point Boundary ValueProblems Derived from Optimal ControlLianwen WangReceived 21 February 2007; Accept[r]

This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formattedPDF and full text (HTML) versions will be made available soon.Nodal solutions of second-order two-point boundary value problemsBoundary Value Problems 2012, 2012:1[r]

Sample page from NUMERICAL RECIPES IN C: THE ART OF SCIENTIFIC COMPUTING (ISBN 0-521-43108-5)Copyright (C) 1988-1992 by Cambridge University Press.Programs Copyright (C) 1988-1992 by Numerical Recipes Software. Permission is granted for internet users to make one paper copy for their own personal u[r]

Hindawi Publishing CorporationBoundary Value ProblemsVolume 2010, Article ID 570932, 8 pagesdoi:10.1155/2010/570932Research ArticleNodal Solutions for a Class of Fourth-OrderTwo-Point Boundary Value ProblemsJia Xu1, 2and XiaoLing Han11Department of Mathematics, Northwest[r]

/dt2 exists exactly one generalized solution under the operators Bjj 1, 2 related to the perturbation term ft, ut being selfadjoint and commuting with theoperator L −d2/dt2 and some other conditions in 1. Huang Wenhua extended Tersian’stheorems in 1 in 2005 and 2006, respectively,[r]

other than the original dependent variables in the ODE. While this approach is analogous toperforming an analytic change of variables directly on the original ODEs, such an analytictransformation might be prohibitively complicated. The change of variables in the relaxationmethod is easy and requires[r]

boundary value problems with φ-Laplacian,” Computers & Mathematics with Applications, vol. 54, no.2, pp. 255–266, 2007.2 R. P. Agarwal, D. O’Regan, and S. Stanˇek, “Dead cores of singular Dirichlet boundary value problemswith φ-Laplacian,” Applications of[r]