non homogeneous second order linear differential equations with constant coefficients
Báo cáo hoa học: " Research Article On Connection between Second-Order Delay Differential Equations and Integrodifferential Equations with Delay" pdf
... 1.4 has a nonoscillatory solution, then 1.1 has a nonoscillatory solution, too Proposition 1.1 means that second order delay equation 1.1 is reduced to nonlinear inequality 1.3 and first order delay ... a second order delay equation is reduced to one first -order integrodifferential delay equation while in a second- order equation is reduced to a system of a nonlinear inequality and a linear delay ... References N Minorsky, Nonlinear Oscillations, D Van Nostrand, Princeton, NJ, USA, 1962 L Berezansky and E Braverman, “Nonoscillation of a second order linear delay differential equation with a middle...
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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
... solutions to second order linear difference equations in the first case For the second case, we leave it to the second part of this paper: Error Bound for Asymptotic Solutions of Second- order Linear ... inhomogeneous second- order linear difference equation; its solution takes the form of a particular solution added to an arbitrary linear combination of solutions to the associated homogeneous linear ... equation” 2.1 Next we consider a nonlinear first -order difference equation 6 Advances in Difference Equations 2.2 The Bound Estimate of a Solution to a Nonlinear First -Order Difference Equation Lemma...
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Báo cáo sinh học: " Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian" ppt
... of a nonlinear nth order boundary value problem with nonlocal conditions,” Applied Mathematics Letters, vol 18, no 5, pp 521–527, 2005 49 X Hao, L Liu, and Y Wu, “Positive solutions for nonlinear ... boundary value problem for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol 7, no 1, pp 133–154, 2000 22 C Corduneanu, Integral Equations and Applications, ... solutions for nonlocal boundary value problems of fourth order, ” Nonlinear Analysis: Theory, Methods & Applications, vol 68, no 3, pp 645–651, 2008 47 D Guo and V Lakshmikantham, Nonlinear Problems...
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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
... equations with piecewise constant arguments,” Acta Mathematica Sinica, vol 18, no 2, pp 263–276, 2002 H.-X Li, “Almost periodic solutions of second- order neutral delay-differential equations with ... 12 R Yuan, “On the spectrum of almost periodic solution of second- order differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, vol 59, no ... the existence of pseudo almost periodic solutions for some second order differential equation with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, vol 64, no...
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differential equations with linear algebra nov 2009
... Maple Linear first -order differential equations Applications of linear first -order differential equations Mixing problems Exponential growth and decay Newton’s law of Cooling Nonlinear first -order differential ... subjects of differential equations and linear algebra, the presentation begins with first -order differential equations, followed by second- and higher order linear differential equations Following ... general solutions to systems of linear differential equations or higher order linear differential equations Over the past decade or two, first -order differential equations have become a standard...
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Báo cáo toán học: " Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments" pptx
... (greatest) solution This seems to be a peculiar feature of equations with deviated arguments, see [1] for an example with a second- order equation Therefore, we are obliged to distinguish between ... prove some new results on existence of solutions to first -order ordinary differential equations with deviated arguments Delay differential equations are included in our general framework, which even ... solutions First -order differential equations with state-dependent deviated arguments have received a lot of attention in the last years We can cite the recent articles [2–7] which deal with existence...
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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
... Walter W: On some nonlinear ordinary differential equations with advanced arguments Nonlinear Anal 2003, 53:495-505 Yan JR: Oscillation of first -order impulsive differential equations with advanced ... problem for second order differential equations with an advanced argument Nonlinear Anal 2006, 65:2013-2023 Jankowski T: Positive solutions for fourth -order differential equations with deviating ... Fractional differential equations as alternative models to nonlinear differential equations Appl Math Comput 2007, 187:79-88 Balachandran K, Trujillo JJ: The nonlocal Cauchy problem for nonlinear...
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báo cáo hóa học:" Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions" pptx
... problem for second order nonlinear singular differential equations, ” Georgian Mathematical Journal, vol 7, no 1, pp 133–154, 2000 Z Yang, “Positive solutions to a system of second- order nonlocal ... solutions of a third order nonlocal boundary value problem,” Discrete and Continuous Dynamical Systems Series S, vol 1, no 1, pp 89–97, 2008 G Infante and J R L Webb, “Nonlinear non- local boundary-value ... Article ID 191627, 13 pages, 2009 J R Graef and J R L Webb, “Third order boundary value problems with nonlocal boundary conditions,” Nonlinear Analysis: Theory, Methods & Applications, vol 71, no 5-6,...
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Báo cáo hóa học: " Research Article Sturm-Picone Comparison Theorem of Second-Order Linear Equations on Time Scales" ppt
... self-adjoint differential equations of second order, ” Annals of Mathematics, vol 65, pp 197–202, 1957 R Zhuang, “Sturm comparison theorem of solution for second order nonlinear differential equations, ” Annals ... comparison theorem of second- order differential equations see Section Remark 3.6 In the discrete case: μ t ≡ This result is the same as Sturm comparison theorem of second- order difference equations see ... equations, ” Annals of Differential Equations, vol 19, no 3, pp 480–486, 2003 R.-K Zhuang and H.-W Wu, “Sturm comparison theorem of solution for second order nonlinear differential equations, ” Applied Mathematics...
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Báo cáo hóa học: " Research Article Cauchy-Neumann Problem for Second-Order ¨ General Schrodinger Equations in Cylinders with Nonsmooth Bas" potx
... complex functions u x, t that have generalized derivatives up to order m with respect to x and up to order l with respect to t with the norm ⎛ u ⎡ ⎝ H m,l e−γt ,Q∞ ⎣ Q∞ |∂α u|2 |α| m ⎞1/2 ⎤ l ... smoothness of solutions to second initial boundary value problems for Schrodinger systems in cylinders with non- smooth bases,” Electronic Journal of ¨ Differential Equations, vol 2008, no 35, ... derivatives with respect to time variable up to order h, which belong to H 1,0 e−γt , Q∞ , moreover uts H 1,0 e−γt ,Q∞ h L∞ 0,∞,L2 Ω ftk C k , ∀s 0, 1, , h, 2.10 where C is a constant independent...
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