V. Ya. Derr, “Disconjugacy of solutions of linear differential equations”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 1, 46

Loading [MathJax]/jax/output/CommonHTML/jax.js

Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2009, Issue 1, Pages 46–89 (Mi vuu3)

This article is cited in 12 scientific papers (total in 13 papers)

MATHEMATICS

Disconjugacy of solutions of linear differential equations

V. Ya. Derr

Udmurt State University

Full-text PDF (454 kB) Citations (13)

References:

PDF

HTML

Abstract: It is an expository article devoted to the disconjugacy theory for decisions of the homogeneous differential equation of

$n$ -th order. We give new proofs of some basic results of this theory, such as sufficient conditions for disconjugacy, some implications from disconjugacy, properties of disconjugate equations. We also give new sufficient conditions of disconjugacy for second order differential equations.

Keywords: disconjugacy, conjugate points, factorization, generalized Rolle's Theorem, multi-point Vallee Poussin's boundary value problem, Green's function.

Received: 01.09.2008

Bibliographic databases:

Document Type: Article

UDC: 517.2+517.5

MSC: 34K11

Language: Russian

Citation: V. Ya. Derr, “Disconjugacy of solutions of linear differential equations”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 1, 46–89

Citation in format AMSBIB

\Bibitem{Der09}

\by V.~Ya.~Derr

\paper Disconjugacy of solutions of linear differential equations

\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki

\yr 2009

\issue 1

\pages 46--89

\mathnet{http://mi.mathnet.ru/vuu3}

\elib{https://elibrary.ru/item.asp?id=12867775}

Linking options:

https://www.mathnet.ru/eng/vuu3

https://www.mathnet.ru/eng/vuu/y2009/i1/p46

This publication is cited in the following 13 articles:

R. Ch. Kulaev, A. A. Urtaeva, “Kachestvennye svoistva reshenii differentsialnykh uravnenii chetvertogo poryadka na grafakh”, Materialy Voronezhskoi mezhdunarodnoi vesennei matematicheskoi shkoly «Sovremennye metody teorii kraevykh zadach. Pontryaginskie chteniya–XXXII», Voronezh, 3–9 maya 2021 g. Chast 1, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 208, VINITI RAN, M., 2022, 37–48
Klimov V.S., “Interior Estimates of Solutions of Linear Differential Inequalities”, Differ. Equ., 56:8 (2020), 1010–1020
Fedorov D.L., Gryzlov A.A., Kinzebulatov D.M., Latypova N.V., Maksimov V.P., Petrov N.N., Popova S.N., Rodionov V.I., Rodina L.I., Smetanin Yu.M., Zaitsev V.A., “Vasilii Yakovlevich Derr. to Anniversary”, Vestn. Udmurt. Univ.-Mat. Mekh. Kompyuternye Nauk., 29:4 (2019), 612–617
V. S. Klimov, “O lokalno vypuklykh krivykh”, Model. i analiz inform. sistem, 24:5 (2017), 567–577
R. Ch. Kulaev, “On the disconjugacy property of an equation on a graph”, Siberian Math. J., 57:1 (2016), 64–73
I. G. Kim, “Neostsillyatsiya reshenii differentsialnogo uravneniya vtorogo poryadka s obobschennymi funktsiyami Kolombo v koeffitsientakh”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 25:1 (2015), 21–28
R. Ch. Kulaev, “Usloviya ostsillyatsionnosti funktsii Grina razryvnoi kraevoi zadachi dlya uravneniya chetvertogo poryadka”, Vladikavk. matem. zhurn., 17:1 (2015), 47–59
R. Ch. Kulaev, “Disconjugacy of fourth-order equations on graphs”, Sb. Math., 206:12 (2015), 1731–1770
R. Ch. Kulaev, “Comparison theorems for Green function of a fourth order boundary value problem on a graph”, Ufa Math. J., 7:4 (2015), 94–103
I. S. Orlova, “Linearizatsiya differentsialnykh uravnenii Pfaffa dlya uslovnykh kvantilei mnogomernykh veroyatnostnykh raspredelenii”, Vestn. SamGU. Estestvennonauchn. ser., 2015, no. 10(132), 29–39
Kulaev R.Ch., “on the Nonoscillation of An Equation on a Graph”, Differ. Equ., 50:11 (2014), 1565–1566
Islamov G.G., Kogan Yu.V., “K voprosu o chebyshevskikh sistemakh”, Izvestiya Instituta matematiki i informatiki Udmurtskogo gosudarstvennogo universiteta, 2012, no. 1, 62–63
S. D. Buntov, N. I. Leonov, E. L. Tonkov, N. N. Petrov, A. A. Gryzlov, B. P. Kondratev, A. I. Karpov, A. V. Borisov, D. L. Fedorov, “Vasilii Yakovlevich Derr. K yubileyu”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 2010, no. 1, 133–136

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Вестник Удмуртского университета. Математика. Механика. Компьютерные науки

Statistics & downloads:
Abstract page:	676
Full-text PDF :	313
References:	91
First page:	1

Что такое QR-код?

Registration to the website

Logotypes