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Membrane Proteomics Reveals the Role of Plant-Derived Smoke Solution on Wheat Under Salt Stress. [PDF]
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EQUATIONS OF PRINCIPAL TYPE WITHOUT SOLUTION
Russian Mathematical Surveys, 1974In 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 of Difference Equations
American Journal of Mathematics, 1947One of the central problems in the theory of difference equations is that of eradicating, as far as possible, the arbitrary elements in the manifold of solutions.2 In brief, a difference equation has so many solutions, (in those cases where the complete manifold has been determined, involving one or more arbitrary periodic functions), that the property
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Principal Solutions for Liénard’s Equation
SIAM Journal on Mathematical Analysis, 1981It 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, 2001The 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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ON FUNDAMENTAL SOLUTIONS OF OPERATORS OF PRINCIPAL AND NONPRINCIPAL TYPES
Acta Mathematica Scientia, 1981This paper deals with the construction of fundamental solutions for some special classes of partial differential operators with simple and multiple characteristics. To do this, an analytic continuation with respect to the dual variable \(\xi\) is done and the construction of a parametrix for classical elliptic equations is applied.
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