Zobrazeno 1 - 10
of 467
pro vyhledávání: '"Sturm separation theorem"'
Autor:
Leila Gholizadeh, Angelo Mingarelli
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2021, Iss 78, Pp 1-8 (2021)
We show that Sturm's classical separation theorem on the interlacing of the zeros of linearly independent solutions of real second order two-term ordinary differential equations necessarily fails in the presence of a turning point in the principal pa
Externí odkaz:
https://doaj.org/article/e20e2a171e1042dd927f1560643d1204
Publikováno v:
Tatra Mountains Mathematical Publications. 71:65-70
Wronskian is one of the classical objects in the theory of ordinary differential equations. Properties of Wronskian lead to important conclusions on behaviour of solutions of delay equations. For instance, non-vanishing Wronskian ensures validity of
Autor:
Breuer, Shlomo, Gottlieb, David
Publikováno v:
Proceedings of the American Mathematical Society, 1971 Aug 01. 29(3), 487-493.
Externí odkaz:
https://www.jstor.org/stable/2038584
Publikováno v:
Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7a876273d94a6f6ffb796273c4051763
https://doi.org/10.1201/9780429321689-10
https://doi.org/10.1201/9780429321689-10
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Autor:
Zeynep Kayar, S. K. Masiha
Publikováno v:
Mathematical Methods in the Applied Sciences. 40:7879-7888
The nonlinear versions of Sturm-Picone comparison theorem as well as Leighton's variational lemma and Leighton's theorem for regular and singular nonlinear impulsive differential equations with discontinuous solutions having fixed moments of impulse
Autor:
Tariel Kiguradze, I. T. Kiguradze
Publikováno v:
Differential Equations. 53:996-1004
We study the existence of solutions continuously depending on a parameter for higher-order nonlinear ordinary differential equations with linear boundary conditions. In particular, we prove a theorem of Fredholm type providing tests for the unique so
Autor:
A. Yu. Pylypenko, M. V. Tantsyura
Publikováno v:
Ukrainian Mathematical Journal. 68:1591-1619
We consider infinite systems of stochastic differential equations used to describe the motion of interacting particles in random media. It is assumed that the mass of each particle approaches zero and the density of particles infinitely increases in
Autor:
Masahiko Tanaka, Jitsuro Sugie
Publikováno v:
Proceedings of the American Mathematical Society. 145:2059-2073
Publikováno v:
Georgian Mathematical Journal. 23:571-577
An efficient condition is established ensuring that on any interval of length ω, any nontrivial solution of the equation u ′′ = p ( t ) u ${u^{\prime\prime}=p(t)u}$ has at most one zero. Based on this result, the unique solvability of a