solution of second order differential equation with constant coefficients
Báo cáo hóa học: " Research Article On the Spectrum of Almost Periodic Solution of Second-Order Neutral Delay Differential Equations with Piecewise Constant of Argument" ppt
... Spectrum of Almost Periodic Solution of Second- Order Neutral Delay Differential Equations with Piecewise Constant of ArgumentLi Wang and Chuanyi ZhangDepartment of Mathematics, Harbin Institute of ... DoslyThe spectrum containment of almost periodic solution of second- order neutral delay differentialequations with piecewise constant of argument EPCA, for short of the form xtpxt − 1qx2t ... follows. 14 Advances in Difference Equations12 R. Yuan, “On the spectrum of almost periodic solution of second- order differential equations with piecewise constant argument,” Nonlinear Analysis:...
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Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
... W\Br2(0),whereBr2(0)is an open ball in W of radius r2centered at 0.Proof. The proof of Proposition 3.2 is the same as the proof of the condition (A2) inthe proof of Theorem 3.1.We have proved the ... . proof of Theorem 3.1, system (1.1) has infinite solutions {uk}inW1,p(t)Tfor ever y posi-tive integer k such that ||uk||đ +,ask đ ∞.TheproofofTheorem3.2iscomplete.Proof of Theorem ... multiplicity of solutions for p(x)-Laplacian equations in ℝN. Nonlinear Anal. 59, 173–188(2004)19. Rabinowitz, PH: Minimax methods in critical point theory with applications to differential equations....
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Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
... “Existence of solutions for a class of third -order nonlinear boundary valueproblems,” 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 ... singular 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...
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báo cáo hóa học:" Research Article Regularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient" ppt
... conditions for regular or slow variation of all positive solutions of a second- order linear difference equation with arbitrary sign coefficient are established. Relations with the so-calledM-classification ... and recessive solutions. Let Advances in Difference Equations 13R denote the set of all positive recessive solutions of 1.1 and D denote the set of allpositive dominant solutions of 1.1.FromTheorem ... CorporationAdvances in Difference EquationsVolume 2010, Article ID 673761, 16 pagesdoi:10.1155/2010/673761Research ArticleRegularly Varying Solutions of Second- Order Difference Equations with Arbitrary Sign...
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Báo cáo hóa học: " Research Article Inequalities among Eigenvalues of Second-Order Difference Equations with General Coupled Boundary Conditions" pptx
... for second- order differenceequations. Existence of eigenvalues is proved, numbers of their eigenvalues are calculated,and their relationships between the eigenvalues of second- order difference equation ... studied existence of minimal and maximal quasisolutions of a second- order nonlinearperiodic boundary value problem 3,Section4. In 2005, Wang and Shi 4 considered 1.1 with the periodic ... CorporationAdvances in Difference EquationsVolume 2009, Article ID 347291, 18 pagesdoi:10.1155/2009/347291Research ArticleInequalities among Eigenvalues of Second- Order Difference Equations with General Coupled...
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Báo cáo hóa học: " Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions" potx
... Difference Equations 136. ConclusionsIn this paper, by using the fixed point theorem of cone, we have investigated the existence of positive solutions for a class of nonlinear fractional differential equations ... positive solution x with r ≤x≤R. The proof is complete.5. DiscussionIn this section, we offer some interesting discussion associated with boundary value problems1.5.Since the proof of the ... preliminaries for discussing the existence of positive solutions of boundary value problem 1.5. Advances in Difference Equations 5Therefore, the unique solution of BVP 2.1 isxt −1Γαt0t...
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Báo cáo sinh học: " Research Article Positive Solutions of nth-Order Nonlinear Impulsive Differential Equation with Nonlocal Boundary Conditions" potx
... W. Ge, “Existence of solutions of boundary value problems with integralboundary conditions for second- order impulsive integro-differential equations in Banach spaces,”Journal of Computational ... ArticlePositive Solutions of nth -Order NonlinearImpulsive Differential Equation with NonlocalBoundary ConditionsMeiqiang Feng,1Xuemei Zhang,2and Xiaozhong Yang21School of Science, Beijing ... introduction of the basic theory of impulsivedifferential equations, see Lakshmikantham et al. 1; for an overview of existing results and of recent research areas of impulsive differential equations,...
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Báo cáo hóa học: " Positive periodic solution of higher-order functional difference equation" ppt
... 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 ... 2011:56http://www.advancesindifferenceequations.com/content/2011/1/56Page 8 of 8 RESEARC H Open AccessPositive periodic solution of higher -order functional difference equation Mei-Lan Tang and Xin-Ge ... k, , m ẻ N where Ndenotes 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...
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Báo cáo hóa học: " On a class of second-order nonlinear difference equation" potx
... negative. There do not e xist eventua lly positivenon-oscillatory solutions of Equation (1.1).Proof. Consider a solution of Equation (1.1) with x−1, x0∈(0, 1).We then know from Lemma 2.3 (A) ... 2011:46http://www.advancesindifferenceequations.com/content/2011/1/46Page 8 of 9 andeither m = ∞ or m < ∞ and xm+1<¯x.A negative semicycle of a solution {xn}∞n=−1 of Equation (1.1) consists of a string of terms ... A positive semicycle of a solution {xn}∞n=−1 of Equation (1.1) consists of astringofterms{xr, xr+1, , xm}, all greater than or equal to the equilibrium¯x, with r≥ -1 and m ≤∞such...
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báo cáo hóa học: " Study of the asymptotic eigenvalue distribution and trace formula of a second order operatordifferential equation" ppt
... trace formula of a second order operator- differential equation Nigar Mahar Aslanova1,2Correspondence: nigar.aslanova@yahoo.com1Department of Differential Equation, Institute of Mathematicsand ... equicontinuity of ER, and it comp letes the proof of the discreteness of the spectrum of L0.2 The derivation of the asymptotic formula for eigenvalue distribution of L0Suppose that the eigenvalues of ... number of positive roots of the function in (2.6), and W be thenumber of sign changes in its coefficients. Because the radius of convergence of thisseries is ∞, then by Descartes’ rule of signs...
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Báo cáo hóa học: " Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument" ppt
... non-linear differential equations of fractional order. Nonlinear Anal 2011, 74:792-804.34. Zhang L, Wang G: Existence of solutions for nonlinear fractional differential equations with impulses ... nonlinear ordinary differential equations with advancedarguments. Nonlinear Anal 2003, 53:495-505.40. Yan JR: Oscillation of first -order impulsive differential equations with advanced argument. ... Positive solutions of the three-point boundary value problem for second order differential equations with an advanced argument. Nonlinear Anal 2006, 65:2013-2023.42. Jankowski T: Positive solutions...
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Báo cáo sinh học: " Research Article New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions" pdf
... and E. Mboumi, “Positive solutions of a boundary value problem for a nonlinearfractional differential equation, ” Electronic Journal of Qualitative Theory of Differential Equations, vol.2008, no. ... “Positive solutions for boundary-value problems of nonlinear fractional differentialequations,” Electronic Journal of Differential Equations, vol. 2006, pp. 1–12, 2006.21 S. Zhang, “The existence of ... paper investigates the existence and multiplicity of positive solutions for a class of higher- order nonlinear fractional differential equations with integral boundary conditions. The resultsare...
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báo cáo hóa học:" Research Article Existence of Positive Solution to Second-Order Three-Point BVPs on Time Scales" docx
... pagesdoi:10.1155/2009/685040Research ArticleExistence of Positive Solution to Second- Order Three-Point BVPs on Time ScalesJian-Ping SunDepartment of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu ... on time scales,” Journal of Difference Equations and Applications, vol. 14, no.7, pp. 723–736, 2008.9 H. Luo and Q. Ma, “Positive solutions to a generalized second- order three-point boundary-valueproblem ... scale,”Electronic Journal of Differential Equations, vol. 2003, no. 82, 11 pages, 2003.8 R. A. Khan, J. J. Nieto, and V. Otero-Espinar, “Existence and approximation of solution of three-pointboundary...
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báo cáo hóa học:" Research Article Limit Properties of Solutions of Singular Second-Order Differential Equations" doc
... ArticleLimit Properties of Solutions of Singular Second- Order Differential EquationsIrena Rach˚unkov´a,1Svatoslav Stanek,1Ewa Weinmăuller,2and Michael Zenz21Department of Mathematical ... formulate sufficient conditions for the existence of at leastone solution of problem 5.1a and 5.1b with a>0. In the proof of this theorem, we workalso with auxiliary two-point boundary conditions:u0 ... thesolvability of nonlinear singular equations subject to different types of boundary conditions.In this section, we utilize Theorem 4.1 to show the existence of solutions for periodicproblems. The rest of...
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