solution of second order differential equation nonhomogeneous

Ngày tải lên: 21/06/2014, 20:20

... boundary value problem of third -order differential equations,” Mathematica Slovaca, vol. 60, no. 4, pp. 485–494, 2010. 4 Y. Sun, “Positive solutions for third -order three-point nonhomogeneous boundary ... “Existence of solutions for a class of third -order nonlinear boundary value problems,” Journal of Mathematical Analysis and Applications, vol. 294, no. 1, pp. 104–112, 2004. 14 D. Guo, Semi-Ordered ... problem,” Journal of Mathematical Analysis and Applications, vol. 323, no. 1, pp. 413–425, 2006. 12 Y. Sun, “Positive solutions of singular third -order three-point boundary value problem,” Journal of Mathematical...

Ngày tải lên: 21/06/2014, 05:20

Ngày tải lên: 13/08/2014, 16:20

... Difference Equations 2011, 2011:56 http://www.advancesindifferenceequations.com/content/2011/1/56 Page 8 of 8 RESEARC H Open Access Positive periodic solution of higher -order functional difference equation Mei-Lan ... Most of these discrete mathematical models are first -order functional difference equations. Rela- tively, few articles focused on the existence of positive periodic solutions of higher -order functional ... k, , m ẻ N where N denotes the set of positive integers. The purpose of this article is to consider the existence of positive periodic solution of higher -order functional differen ce equatio...

Ngày tải lên: 20/06/2014, 22:20

... 2011:46 http://www.advancesindifferenceequations.com/content/2011/1/46 Page 8 of 9 and either m = ∞ or m < ∞ and x m +1 < ¯ x . A negative semicycle of a solution { x n } ∞ n =− 1 of Equation (1.1) consists of a string of terms ... the solution is a nontrivial solution, then we can further divide the solution into two cases: non-oscillatory solution and oscillatory solution. A nontrivial solution {x n } ∞ n =− 1 of Equation ... <1. The proof of theorem 3 .8 is similar to that of theorem 3.6 by virtue of theorem 2.4, theorem 3.5, Lemma (3.3) and Equation (1.1). Theorem 3.9. The positive equilibrium point of Equation (1.1)...

Ngày tải lên: 20/06/2014, 22:20

... of L 0 which are less than g k λ k ∼−h √ γ k . (2:9) Now, find the asymptotic of those solutions of Equation 2.3 which are greater than g k , i.e., the real roots of Equation 2.5. By virtue of ... equicontinuity of E R , and it comp letes the proof of the discreteness of the spectrum of L 0 . 2 The derivation of the asymptotic formula for eigenvalue distribution of L 0 Suppose that the eigenvalues of ... 2011:7 http://www.boundaryvalueproblems.com/content/2011/1/7 Page 4 of 22 RESEARC H Open Access Study of the asymptotic eigenvalue distribution and trace formula of a second order operator- differential equation Nigar Mahar Aslanova 1,2 Correspondence:...

Ngày tải lên: 21/06/2014, 02:20

... dependence of solutions of second- order boundary value problems,” Applied Mathematics Letters, vol. 22, no. 11, pp. 1633–1638, 2009. 11 Y. Sun, “Positive solutions for third -order three-point nonhomogeneous ... and Parameter Dependence of Positive Solution of Fourth -Order Nonhomogeneous BVPs Jian-Ping Sun and Xiao-Yun Wang Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, ... a unique solution and then studied the dependence of this solution on the parameters λ and μ.Sun11 discussed the existence and nonexistence of positive solutions to a class of third -order three-point...

Ngày tải lên: 21/06/2014, 11:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 21/06/2014, 20:20

Ngày tải lên: 22/06/2014, 06:20

Ngày tải lên: 22/06/2014, 19:20

Ngày tải lên: 22/06/2014, 22:20

Ngày tải lên: 23/06/2014, 00:20

... the proof of an a priori estimate of the Hdlder norm IIulIc^(u) for solutions of uniformly elliptic equations. V. The estimate of maxnl vul for equations with structure described in terms of the ... study of properties of generalized solutions of quasilin- ear, weakly degenerate parabolic equations. From the results obtained it is evident how the properties of generalized solutions of the equation ... Ilullc, t°cal in terms of IlullcI(n> for solutions of arbitrary elliptic equations of the form (1), at the end of Chapter 1 theorems on the existence of classical solutions of the Dirichlet problem...

Ngày tải lên: 31/05/2014, 01:37

... a class of even -order differential equations Journal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5 Qi-Ming Zhang (zhqm20082008@sina.com) Xiaofei He (hexiaofei525@sina.com) ISSN ... for a class of even -order differential equations Qi-Ming Zhang ∗1 and Xiaofei He 2 1 College of Science, Hunan University of Technology, Zhuzhou, Hunan 412000, P.R. China 2 College of Mathematics ... of Lyapunov. Am. J. Math. 73, 885–890 (1951) [3] Cheng, SS: Lyapunov inequalities for differential and difference equations. Fasc. Math. 23, 25–41 (1991) [4] He, Z: Existence of two solutions of...

Ngày tải lên: 20/06/2014, 21:20

... W\B r 2 (0 ) ,where B r 2 (0 ) is an open ball in W of radius r 2 centered at 0. Proof. The proof of Proposition 3.2 is the same as the proof of the condition (A2) in the proof of Theorem 3.1. We have proved the ... . proof of Theorem 3.1, system (1.1) has infinite solutions {u k }in W 1,p ( t ) T for ever y posi- tive integer k such that ||u k || đ +,ask đ ∞.TheproofofTheorem3.2is complete. Proof of Theorem ... c k đ . This completes the proof of Theorem 3.1. Proof of Theorem 3.2. To prove {u n } has a convergent subsequence in space W 1,p(t ) T is the same as that in the proof of Theorem 3.1, thus we omit...

Ngày tải lên: 20/06/2014, 22:20

... result of boundedness of solutions in the superlinear case i.e., gx, t/x →∞as |x|→∞ was due to Morris 2. By means of KAM theorem, Morris proved that every solution of the differential equation ... assumptions on the parities of Fx, t and ex, t,bya small twist theorem of reversible mapping we obtain the existence of quasiperiodic solutions and boundedness of all the solutions. 1. Introduction ... λ  , 2.44 Boundary Value Problems 5 This equation takes as an integrable part of 1.9. We will use its solutions to construct a pair of action-angle variables. One of solutions for 2.5 is the function...

Ngày tải lên: 21/06/2014, 07:20

... l  j       3.11 are finite. Equation 3.10 is a inhomogeneous second- order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions ... constant. Equation 4.14 is an inhomogeneous second- order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions ... open. The purpose of this and the next paper Error bounds for asymptotic solutions of second- order linear difference equations II: the second case is to estimate error bounds for solutions to 1.2....

Ngày tải lên: 21/06/2014, 11:20

... ∪NRV 2 . Proof . First we show the last part of the statement. Let {x, y}be a fundamental set of solutions of 1.1,withy ∈NRV 1 , x ∈NRV 2 ,andletz be an arbitrary solution of 1.1,with z k > ... possible values of the limits of y and of Δy. Solutions in M  ∞,B , M  ∞,0 , M  B,0 are sometimes called, respectively, dominant solutions, intermediate solutions, and subdominant solutions, since, ... positive solutions is particularly meaningful in the study of dominant and recessive solutions. Let Advances in Difference Equations 13 R denote the set of all positive recessive solutions of 1.1...

Ngày tải lên: 21/06/2014, 11:20