[PDF] Top 20 Higher order KdV type equations and their stability
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Higher order KdV type equations and their stability
... 1. Introduction. Since the inverse scattering technique was established [5], several methods of obtaining solitary wave solutions have been developed. Due to the avail- ability of symbolic manipulation packages such as ... See full document
6
Blow up of Solutions for a System of Nonlinear Higher order Kirchhoff type Equations
... Ono [16] considered equation (1.3) with M (s) = s γ , m = 1 and showed that the solution blow up if the initial energy is negative. Wu and Tsai [23] showed that the solution blow up under the condition of positive upper ... See full document
11
On Lyapunov type inequalities for fourth order linear differential equations
... for higher order linear di¤erential equations which satisfy n-point boundary conditions, but as far as we know, there are fewer studies with regard four order di¤erential equations that ... See full document
7
Dynamics of higher order rational difference equation $x_{n+1}=(\alpha+\beta x_{n})/(A + Bx_{n}+ Cx_{n-k})$
... local stability and global stability, periodic solution, semicycles and boundedness of the solutions of this ...difference equations and nonlinear difference equations can be found in [23], ... See full document
17
Oscillation of Higher Order Neutral Type Periodic Differential Equations with Distributed Arguments
... In this article, we aim to establish some oscillation criteria for solutions of (1.1) which generalize and improve certain known results obtained for less general-type neutral dif- ferential equations. The ... See full document
13
Lyapunov type inequalities for the Riemann Liouville fractional differential equations of higher order
... with higher order α ∈ (n–, n] (n ≥ ). We will give Lyapunov type inequalities for the fractional differential equations ...new type of Lyapunov type ... See full document
20
Estimate on the Dimension of Global Attractor for Nonlinear Higher Order Coupled Kirchhoff Type Equations
... wave equations of non-degenerate Kirchhoff type modelling the nonlinear vibrations of an elastic string, and they obtained a precise estimate of upper bound of Hausdorff dimen- sion of kernel ... See full document
14
The Boundary Value Problems of Higher Order Mixed Type of Delay Differential Equations
... [3] A. Alibeigloo, H. Jafarian, ”Three-Dimensional Static and Free Vibra- tion Analysis of Carbon Nano Tube Reinforced Composite Cylindrical Shell Using Differential Quadrature Method,” International Journal of Applied ... See full document
8
Lyapunov type inequalities for certain higher order difference equations with mixed non linearities
... Compared with a large number of references devoted to continuous Lyapunov-type in- equalities, there is not much done for discrete Lyapunov-type inequalities (see [6, 13, 21, 29, 39, 59] and the references ... See full document
14
Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher Order Coupled Kirchhoff Type Equations
... In this paper, we study estimation of the upper bounds of Hausdorff dimension and Fractal dimension of the global attractor for a class of Higher-order coupled Kirchhoff-type equations. In the ... See full document
14
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional order differential equations
... 0, and hence by Theorem 5 the coupled system (32) is HU stable and thus GHU stable. Similarly, we can verify the conditions of Theorems 6 and 4. Next, we take the initial values for the required solution ξ = 1, μ = 2, ... See full document
21
ΖN graded discrete Lax pairs and integrable difference equations
... The generic coprime case has two natural descriptions in terms of potential functions. These are related through a B¨ acklund transformation, but some well known, low dimensional, examples fit naturally into each ... See full document
31
Oscillation of higher order delay difference equations
... difference equations has been intensively studied in recent ...with equations of type ...of higher-order di ff erence equation similar to ... See full document
7
Kamenev type oscillation criteria for higher order nonlinear dynamic equations on time scales
... in order to unify continuous and discrete ...difference equations, while other results seem to be completely different from their continuous ...dynamic equations on time scales reveals such ... See full document
19
Asymptotic estimates and exponential stability for higher order monotone difference equations
... controlled by a positively homogeneous function which is nondecreasing in each of its variables (see Theorems 1.3 and 3.10). As a corollary, we obtain explicit sufficient condi- tions for the global exponential ... See full document
15
The stability of collocation methods for higher order Volterra integro differential equations
... numerical stability of the polynomial spline collocation method for general Volterra integro-differential equation is being ...and stability of the new method are given and the efficiency of the new method is ... See full document
15
Qualitative behavior of rational difference equations of higher order
... Difference Equations has been growing ...difference equations appear as mathematical models describing real life situations in probability theory, queuing theory, statistical problems, stochastic time ... See full document
10
The Inertial Manifolds for a Class of Higher Order Coupled Kirchhoff Type Equations
... In this paper, we mainly deal with a class of higher-order coupled Kir- chhoff-type equations. At first, we take advantage of Hadamard’s graph to get the equivalent form of the original ... See full document
10
Conservation laws for a generalized Ito-type coupled KdV system
... and so on. In the literature, conservation laws have been extensively used in studying the existence, uniqueness and stability of solutions of nonlinear partial differential equations (see, for example, ... See full document
7
NEW ITERATIVE METHOD FOR SOLVING HIGHER ORDER KDV EQUATIONS
... In this paper, New Iterative Method has been successfully used for obtaining the analytic solutions for Lax equations and Sawada-Kotera KdV equations of fifth and seventh orders. NIM solutions are ... See full document
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