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Partial Differential Equations with Random Characteristics

Theory of Probability & Its Applications, 1969
Polovin, R. V., Rozkov, V. V.
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The Characteristic Equation and Stability

1977
The local behavior of a system of differential equations $$fracd{X_i}dt = {f_i}\left( {{X_1},...,{X_n}} \right){\text{ }}\left( {i = 1,...,n} \right) $$ near an equilibrium point depends on the roots (eigenvalues) of the characteristic equation $$\left| {A - \lambda I} \right| = 0$$ (4.1) where A = (aij) is the matrix of first partial ...
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Hyperbolic Equations With Multiple Characteristics

Transactions of the American Mathematical Society, 1959
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