Results 251 to 260 of about 469,727 (312)

EQUATIONS OF PRINCIPAL TYPE WITHOUT SOLUTION

Russian Mathematical Surveys, 1974
In this paper we give necessary conditions for the local solubility of linear differential and pseudodifferential equations with smooth coefficients. Our results generalize those of H. Lewi, Hormander, Nirenberg, Treves, Egorov, and others, described in the survey paper [16] (see also [17], [18]).
Egorov, Ju. V., Popivanov, P. R.
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Principal Solutions for Liénard’s Equation

SIAM Journal on Mathematical Analysis, 1981
It is found that for a certain class of nonlinear ordinary differential equations there exists a one-parameter family of solutions which display lower order growth at infinity than the remaining solutions. This result is found with the help of an auxiliary equation which plays a role similar to that of the Riccati equation in the linear case.
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Ore Principal Subresultant Coefficients in Solutions

Applicable Algebra in Engineering, Communication and Computing, 2001
The author gives a new expression for the principal subresultant coefficient \(\text{psc}_k(A,B)\) of two Ore polynomials \(A\), \(B\) in terms of ``solutions'' of \(A\) and \(B\). This is another approach to a result of \textit{Z. Li} [in Proc. Int. Symp. Symb.
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