higher order nonlinear terms
CONTRIBUTION OF HIGHER ORDER TERMS TO THE NONLINEAR SHALLOW WATER WAVES
... weakly nonlinear waves in shallow water and obtained the gov- erning evolution equations of various order terms in the perturbation ...correction terms so as to remove some possible ...th ...
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Index Terms --nonlinear systems, stability analysis, Lyapunov functions, higher order derivatives, homogeneous systems.
... the higher order time derivatives of LF without ...of nonlinear zero degree homogeneous systems, hence a new theorem for general nonlinear homogeneous systems is ...
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Existence of Random Attractor Family for a Class of Nonlinear Higher Order Kirchhoff Equations
... As we all know, attractors have absorptivity and invariance, and have a clear description of the long-term behavior and the asymptotic stability of the solution of the equation. Because the long-term behavior of the ...
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NONLINEAR BENDING ANALYSIS OF FUNCTIONALLY GRADED PLATES USING HIGHER ORDER THEORY
... first order shear deformation theory are the simplest equivalent single layer theories and they adequately describe the kinematic behavior of most functionally graded ...materials. Higher-order ...
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Existence of positive solutions of a third order nonlinear differential equation with positive and negative terms
... the higher order ordinary differential equations (ODE) (see [1–7]) es- sentially takes advantage of some recapitulation of Kiguradze’s lemma [1, ...fourth order quasi-derivative for an ultimately ...
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Long-Time Behavior of Solutions for a Class of Nonlinear Higher Order Kirchhoff Equation
... On the basis of the lower-order Kirchhoff-type equation studied by previous scholars, this paper studies the global attractor family and its finite dimension estimation for the higher-order ...
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Positive solutions of higher-order Sturm-Liouville boundary value problems with derivative-dependent nonlinear terms
... Hence, the existence of a solution of (.) follows from the existence of a solution of (.). Further, it is obvious from (.) that for ≤ k ≤ q, y ∗(k) is positive if x ∗ is, and y ∗(k) is non- trivial if x ∗ is. We ...
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Blow up of Solutions for a System of Nonlinear Higher order Kirchhoff type Equations
... damping terms and source terms on the solutions of the problem ...both nonlinear damping and source terms are present, then the analysis of their interaction is more difficult ...
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Eigenvalues of higher order Sturm-Liouville boundary value problems with derivatives in nonlinear terms
... of nonlinear phenomena, such as gas diffusion through porous media, nonlinear diffusion generated by nonlinear sources, thermal self ignition of a chemically active mixture of gases in a vessel, ...
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Positive solutions of higher order Sturm–Liouville boundary value problems with fully nonlinear terms
... Motivated by the research mentioned, in this paper we develop a different technique to discuss the fully nth-order boundary value problem (1.1). Our purpose is to obtain the existence of positive solution to BVP ...
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Oscillatory behavior of a second order nonlinear advanced differential equation with mixed neutral terms
... and established a new comparison principle by using new monotonic properties of nonoscillatory solutions and iterated exponentiation. Agarwal et al. [7] used an approach that leads to two independent conditions, ...
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Higher Order Numeric Solutions for Nonlinear Systems Based on the Modified Decomposition Method
... for nonlinear differential equations based on the Rach-Adomian-Meyers mod- ified decomposition method are designed in this ...a higher-order numeric scheme such as a 10th-order scheme, while ...
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Extension of Higher Order Derivatives of Lyapunov Functions in Stability Analysis of Nonlinear Systems
... a > . An arbitrary set of such points produces a linear matrix inequality (LMI) for the a i > 0 . Such LMIs have been solved for the nonlinear homogeneous systems in [16]- [17], where the radial symmetry of ...
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A higher order method for nonlinear singular two point boundary value problems
... of nonlinear singular two-point boundary value problems. The order of convergence of the method for such a general class of problems is higher than the previous reported ...fourth- order ...
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Nonoscillatory solutions for higher order nonlinear neutral delay differential equations
... { , , . . . , n } . Shen and Debnath [] obtained some sufficient conditions for the oscilla- tions of (.) and Luo and Shen [] established a few oscillation and nonoscillation criteria for (.). Liu and Huang [] ...
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Oscillation results for nonlinear second order difference equations with mixed neutral terms
... tional order, the oscillation and nonoscillation of solutions for integer order second order difference equations are still considered as an open area to investigate ...neutral terms are of ...
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Asymptotic dichotomy in a class of higher order nonlinear delay differential equations
... third order differential equations arise in the study of entropy-flow phe- nomenon, problems of hydrodynamics, three-layer beams and so forth, see the mono- graph [7] and the references cited ...general ...
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Colliding scalar pulses in the Einstein-Gauss-Bonnet gravity
... the nonlinear features of the theory, in GR, gravitational waves interact with themselves when they pass through each ...this nonlinear interaction problem (see ...
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Positive Decreasing Solutions of Higher Order Nonlinear Difference Equations
... It is shown that the decay rates of the positive, monotone decreasing solutions approaching the zero equilibrium of higher-order nonlinear difference equations are related to the positive ...
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Solvability of a Higher Order Nonlinear Neutral Delay Difference Equation
... Hindawi Publishing Corporation Advances in Difference Equations Volume 2010, Article ID 767620, 14 pages doi 10 1155/2010/767620 Research Article Solvability of a Higher Order Nonlinear Neutral Delay[.] ...
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