solution of second order differential equation in matlab
Báo cáo hóa học: "Research Article Iterative Solutions of Singular Boundary Value Problems of Third-Order Differential Equation" potx
... Reports in Mathematics in Science and Engineering, Academic Press, Boston, Mass, USA, 1988.16 D. Guo, V. Lakshmikantham, and X. Liu, Nonlinear Integral Equations in Abstract Spaces, vol. 373 of Mathematics ... contraction mapping principleimplies thatAn0has a unique fixed point x∗ in CI,andsoA has a unique fixed pointx∗ in CI; by the definition of A, A has a unique fixed point x∗ in CI,thatis,x∗is ... existence of solutions for 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...
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Báo cáo hóa học: " Positive periodic solution of higher-order functional difference equation" ppt
... theexistence of a positive periodic solution to a class of higher -order functionaldifference equations is established in this article. The result obtained in this article isdifferent from the existing ... 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 Liu** ... divisor of m and ω. In fact, in most cases, m and ω do not satisfy such severeconstraint l = ω. In general, l ≤ ω. I n this article, we consider the following higher- order functional difference equation x(n...
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Báo cáo hóa học: " On a class of second-order nonlinear difference equation" potx
... kind of second- order rational difference equation. With the change of the initial values, we find thesuccessive lengths of positive and negative semicycles for oscillatory solutions of this equation, ... class of second- order nonlinear difference equation Li Dongsheng1*, Zou Shuliang1and Liao Maoxin2* Correspondence: lds1010@sina.com1School of Economics andManagement, University of SouthChina, ... convenience, we give some corresponding definitions.Definition 1.1. A positive semicycle of a solution {xn}∞n=−1 of Equation (1.1) consists of astringofterms{xr, xr+1, , xm}, all greater...
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báo cáo hóa học: " Study of the asymptotic eigenvalue distribution and trace formula of a second order operatordifferential equation" ppt
... 1. Hence, beginning with some k ,Equation 2.6 has exactly one positive root corresponding to the imaginary root of Equation 2.5.Now, find the asymptotic of the imaginary roots of Equation 2.5. ... numerator in the vicinity of zerois O(zν+1), and the order of its denominator is O(zν), the integral along the left part of contour vanishes. Now, consider the integrals along the remaining three ... vec tor functions with values in H (see [30], p. 57) that vanish in the vicinity of zero and are infinitely differentiable in the norm of H. Also, onD (L0)define theoperatorL0:L0Y...
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quasilinear degenerate and nonuniformly elliptic and parabolic equations of second order
... contains, in particular, the equation with principal part which coincides with the principal part of the equation of minimal surfaces (1.7.13). The latter is also contained in the thirdclass of equations ... degenerate equations. We then establish localestimates of the gradients of solutions of equations of the form (1) by combining theuse of certain methods characteristic of the technique of global ... prioriestimate of maxnivul breaks down into two steps: 1) obtaining maxaalvul in terms of maxsljul, and 2) obtaining an estimate of maxr 1vul in terms of maxanlvul andmaxalul. The estimates of maxaulvul...
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Báo cáo toán học: " Lyapunov-type inequalities for a class of even-order differential equations" doc
... soon.Lyapunov-type inequalities for a class of even -order differential equationsJournal of Inequalities and Applications 2012, 2012:5 doi:10.1186/1029-242X-2012-5Qi-Ming Zhang (zhqm20082008@sina.com)Xiaofei ... contributed to these interesting2 Lyapunov-type inequalities for a class of even -order differential equationsQi-Ming Zhang∗1and Xiaofei He21College of Science, Hunan University of Technology, ... In view of the forms of the two inequalities (1.6) and (2.12), we can easilyfind that inequality (2.12) is simpler than (1.6). Moreover, by using the method of induction,we can verify that inequality...
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Báo cáo hóa học: " Infinitely many periodic solutions for some second-order differential systems with p(t)Laplacian" potx
... . proof of Theorem 3.1, system (1.1) has infinite solutions {uk }in W1,p(t)Tfor ever y posi-tive integer k such that ||uk||đ +,ask đ ∞.TheproofofTheorem3.2iscomplete.Proof of Theorem ... 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) in the proof of Theorem 3.1.We have proved ... differential inclusion problem involving the p(x)-Laplacian. Nonlinear Anal.70, 3755–3760 (2009). doi:10.1016/j.na.2008.07.0314. Dai, G: Infinitely many solutions for a differential inclusion problem in...
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Báo cáo hóa học: " Global attractor of the extended FisherKolmogorov equation in Hk spaces" pot
... type equations. J DifferEqn. 184(1), 78–96 (2002). doi:10.1006/jdeq.2001.413512. Li, CY: Homoclinic orbits of two classes of fourth order semilinear differential equations with periodic nonlinearity. ... existence of global attractor for a class of infinite dimensional nonlinear dissipativedynamical systems. Chin Ann Math B. 26(3), 1–8 (2005)17. Temam, R: Infinite-Dimensional Dynamical Systems in ... PR China2College of Mathematics andSoftware Science, Sichuan Normal University, Chengdu, Sichuan 610066, PR ChinaCompeting interestsThe author declares that they have no competing interests.Received:...
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Báo cáo hóa học: " On the stability of an AQCQ-functional equation in random normed spaces" potx
... mapping. It is natural that this equation is calleda quadratic functional equation. In particular, every solution of the quadratic functional equation (1.1) is said to be a quadratic mapping. ... cubic functional equation and every solution of the cubic functional equation is said to be a cubic mapping. In [32], Park and Bae considered the following quartic functional equation f(x +2y)+ ... Mathematics,University of Seoul, Seoul 130-743,Republic of KoreaFull list of author information isavailable at the end of the articleAbstract In this paper, we prove the Hyers-Ulam stability of the following...
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Báo cáo hóa học: " Research Article Lagrangian Stability of a Class of Second-Order Periodic Systems" docx
... of Fx, t and ex, t,byasmall twist theorem of reversible mapping we obtain the existence of quasiperiodic solutions andboundedness of all the solutions.1. Introduction and Main Result In ... result of boundedness of solutions in the superlinear case i.e.,gx, t/x →∞as |x|→∞ was due to Morris 2. By means of KAM theorem, Morrisproved that every solution of the differential equation ... nite part of cylinder C S1ìR,whereS1 R/2Z,wedenoteby the class of Jordan curves in C that are homotopic to the circle r constant. The subclass of Γ composed of those curves lying in A will...
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báo cáo hóa học:" Research Article Error Bounds for Asymptotic Solutions of Second-Order Linear Difference Equations II: The First Case" pot
... lj3.11are 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 theform of a particular solution added to an arbitrary linear combination of solutions ... asymptotic solutions of second- order linear differential equations, the method used in Wong and Li’s papers cannot give us wayto obtain error bounds of these asymptotic solutions. Only order estimations...
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