Results 181 to 190 of about 2,990 (216)
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Global Resolvability for Quasilinear Hyperbolic Systems
Journal of Partial Differential Equations, 1995Summary: We consider the globally smooth solutions of diagonalizable systems consisting of \(n\) equations. We give a sufficient condition which guarantees the global existence of smooth solutions. The techniques used in this paper can be applied to study the globally smooth (or continuous) solutions of diagonalizable nonstrict hyperbolic conversation ...
Li, Caizhong +2 more
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On Lyapunov-type inequality for quasilinear systems
Applied Mathematics and Computation, 2010A Lyapunov-type inequality is derived for the quasilinear system \[ -\left(r_1(x)|u'(x)|^{p-2}u'(x)\right)'=f_1(x) |u(x)|^{\alpha-2}u(x)|v(x)|^{\beta}, \] \[ -\left(r_2(x)|v'(x)|^{q-2}v'(x)\right)'=f_2(x) |u(x)|^{\theta}|v(x)|^{\gamma-2}v(x), \] where both components of the solution \((u(x),v(x))\) have consecutive zeros at the points \(a,b\in\mathbb R\
Devrim Çakmak, Aydin Tiryaki
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Stability Criteria for Quasilinear Impulsive Systems
International Applied Mechanics, 2004The authors establish stability conditions for quasilinear large-scale systems with impulsive effect in the cases when the known approaches to stability investigation of such systems can not be applied. An efficient technique of analysis of uncertain impulsive systems is proposed which admits an extension to some classes of interval systems.
Dvirny, A. I., Slyn'ko, V. I.
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Interesting class of quasilinear systems
Journal of Computational PhysicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On diagonalization of quasilinear systems with control parameters
Automation and Remote Control, 2016Consideration was given to the systems of n quasilinear equations with first-order partial derivatives, two independent variables, and an arbitrary number of numerical control parameters. From the application standpoint, the independent variables play the part of time and space, and the parameters are replaced either by the control functions or the ...
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The application of quasilinearization to non‐linear systems
International Journal for Numerical Methods in Engineering, 1974AbstractThis paper presents a method of solving systems of simultaneous non‐linear partial differential equations using the method of lines and the method of quasilinearization‐superposition in combination. The advantages of the method over those methods more generally used are discussed and an example of the application of the method to the two ...
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Systems Identification by Quasilinearization and by Evolutionary Programming
Journal of Cybernetics, 1973Abstract Two new methods for obtaining the values of the coefficients in the differential equations describing the dynamics of a system are developed. The first method is based on a quasilinearization procedure and is applicable in parameter identification problems where the plant is modeled by a system of linear differential equations, and noisy ...
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Semilinear and quasilinear systems
2000Abstract A quasilinear system of n equations in one space variable takes the form By a classical solution of (3.1) we mean a continuously differentiable function u = uft, x) which satisfies (3.1) at every point of its domain. In later sections, we shall also consider broad solutions, corresponding to fixed points of a suitable integral ...
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BOUNDARY REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS
Communications in Partial Differential Equations, 2002We consider boundary regularity for solutions of certain systems of second-order nonlinear elliptic equations, and obtain a general criterion for a weak solution to be regular in the neighbourhood of a given boundary point. Combined with existing results on interior partial regularity, this result yields an upper bound on the Hausdorff dimension of the
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On the stability of solutions of a quasilinear uncertain system
Ukrainian Mathematical Journal, 1999The author deals with a quasilinear system of the form \[ \dot x=Ax+f_1(x,y,\alpha), \qquad \dot y=By+f_2(x,y,\alpha), \] where \(x\) and \(y\) are, respectively, \(n\)- and \(m\)-dimensional vectors, \(A\), \(B\) are diagonal matrices, \(\alpha\) is \(d\)-dimensional parameter, and \(f_i(x,y,\alpha)=O(\|x\|^2 +\|y\|^2)\), \(i=1,2\), are continuous ...
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