Results 251 to 260 of about 236,172 (292)

Inhomogeneous Systems of Equations

1983
Let aij, 1 ≤ i ≤ k, 1 ≤ j ≤ n be a set of constants, and fix k constants u1,u2,...,ukThe system $$\left\{ \begin{gathered} {a_{11}}{x_1} + {a_{12}}{x_2} + \cdots + {a_{1n}}{x_n} = {u_1}, \hfill \\ {a_{21}}{x_1} + {a_{22}}{x_2} + \cdots + {a_{2n}}{x_n} = {u_2}, \hfill \\ \vdots \hfill \\ {a_{k1}}{x_1} + {a_{k2}}{x_2} + \cdots + {a_{kn}}{x_n} = {u_k},
Thomas Banchoff, John Wermer
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An Inhomogeneous Picard-Fuchs Equation

1994
In the study of singularities of vector fields on the plane the analysis of perturbations of Hamiltonian systems is crucial. The number of isolated limit cycles in the perturbed system is related to the number of zeros of periods (Abelian integrals). If the Hamiltonian function is algebraic, then the there are finitely many independent periods.
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Inhomogeneous Thue Equations

2019
Let α be an algebraic integer of degree n ≥ 3, \(K={\mathbb Q}(\alpha )\), and let \(0\neq m\in {\mathbb Z}\). In some applications for index form equations in sextic and octic fields (cf. Sects. 11.2.1, 11.2.2, and 14.2.3) we shall need to solve equations of type $$\displaystyle N_{K/{\mathbb Q}}(x+\alpha y +\lambda )=m \;\;\; \mathrm {in ...
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Toward solving the inhomogeneous Bloch equation

Journal of Mathematical Physics, 2003
The homogeneous Bloch equation reduces to the Riccati equation. By linearizing the Riccati equation, a set of three solutions of the homogeneous Bloch equation is found. The fundamental matrix becomes singular. We clarify the utility and limitation of our approach to solve the homogeneous Bloch equation.
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Inhomogenous infinite dimensional langevin equations

Stochastic Analysis and Applications, 1988
A criterion for an infinite dimensional Gaussian process to satisfy a Langevin equation i s extended to the case where the evolution term is time ...
Tomasz Bojdecki, Luis G. Gorostiza
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Temporally inhomogeneous Timoshenko beam equations

Annali di Matematica Pura ed Applicata, 1993
We provide a well-posedness result for a fourth order evolution equation in Hilbert space, which is the temporally inhomogeneous version of the Timoshenko beam equation. The method consists in transforming the equation to a convenient second order equation, which is a perturbation, by lower order terms, of a standard wave equation.
AROSIO, Alberto Giorgio, PANIZZI, Stefano, M. G. Paoli   +2 more
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Inhomogeneous semi-linear wave equations

2021
In this thesis we study semi-linear wave equations with spatial inhomogeneity. The spatial inhomogeneity corresponds to a localised spatially dependent scaling of the nonlinear potential term. This thesis will consider the existence of stationary fronts and the dynamics of travelling solutions.
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An inhomogeneous Landau-like equation

Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1981
The problem of the mixing of two plasmas is very difficult to solve if the methods of statistical mechanics are used. When both plasmas are homogeneous in space, and the limit of weak coupling is appropriate, the Landau equation describes the motion.
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Inhomogeneous Equations

1997
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Systems of Inhomogeneous Linear Equations

2010
Many problems in physics and especially computational physics involve systems of linear equations, which arise e.g. from linearization of a general nonlinear problem or from discretization of differential equations. If the system is nonsingular and has full rank, a formal solution is given by matrix inversion. If the matrix is singular or the number of
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