Cover Image

Qualitative Investigation of the Singular Cauchy Problem F(t, x, x′) = 0, x(0) = 0

We prove the existence and uniqueness of a continuously differentiable solution with required asymptotic properties.

Saved in:

Bibliographic Details
Date:	2003
Main Authors:	Zernov, A. E., Kuzina, Yu. V., Зернов, А. Е., Кузина, Ю. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2003
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/4033
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Асимптотическое поведение решений задачи Коши x′ = f(t, x, x′), x(0) = 0
by: Зернов, А.Е., et al.
Published: (2002)

Существование и асимптотическое поведение решений задачи Коши x(x')^γ=f(t,x,x'), x(0)=0
by: Зернов, А.Е., et al.
Published: (2003)

Qualitative Investigation of the Singular Cauchy Problem $\sum\limits_{k = 1}^n {(a_{k1} t + a_{k2} x)(x')^k = b_1 t + b_2 x + f(t,x,x'),x(0) = 0}$
by: Zernov, A. E., et al.
Published: (2003)

Asymptotic Behavior of Solutions of the Cauchy Problem x′ = f(t, x, x′), x(0) = 0
by: Zernov, A. E., et al.
Published: (2002)

Qualitative Analysis of an Implicit Singular Cauchy Problem
by: Zernov, A. E., et al.
Published: (2001)

Qualitative investigation of a singular Cauchy problem for a functional differential equation
by: Zernov, A. E., et al.
Published: (2005)

Теплоемкость кристаллов TlIn₁-x Cex S₂ (0 ≤ x ≤ 0,04)
by: Годжаев, Э.М., et al.
Published: (2000)

Приближение функции f(x,y) суммами вида φ0(x)ψ0(y)+…+ φN(x)ψN(y)
by: Литвин, О.Н., et al.
Published: (2011)

Magnetic and superconducting properties of FeSe₁–xTex (x≃0, 0.5, and 1.0)
by: Fedorchenko, A.V., et al.
Published: (2011)

Phonon Raman scattering in LaMn₁₋xCoxO₃ (x = 0, 0.2, 0.3, 0.4, and 1.0)
by: Gnezdilov, V.P., et al.
Published: (2003)

Compositional studies of optical parameters in (Ag₃AsS₃)x(As₂S₃)₁₋x (x = 0.3; 0.6; 0.9) thin films
by: Studenyak, I.P., et al.
Published: (2016)

Эффект Воллебена в магнитных сверхпроводниках Dy₁₋xYxRh₄B₄ (x = 0,2; 0,3; 0,4 и 0,6)
by: Дмитриев, В.М., et al.
Published: (2012)

Электрические свойства халькогенидов AgGeAsS₃xSe₃₍₁₋x₎(0,1<=x<=0,9)
by: Хейфец, О.Л., et al.
Published: (2007)

Исследование магнитных свойств манганитов Ca₁₋xEuxMnO₃ (0 ≤ x ≤ 0,5)
by: Троянчук, И.О., et al.
Published: (1996)

A maximal \(T\)-space of \(\mathbb{F}_{3}[x]_0\)
by: Bekh-Ochir, Chuluun, et al.
Published: (2018)

Antiferromagnet-ferromagnet transition in La1–xSrxMn0.5Ni0.5O3 (0 ≤ x ≤ 0.2) ceramics
by: I. O. Troyanchuk, et al.
Published: (2017)

Superconducting properties of GdxPb1–xMo6S8 (x = 0.5, 0.7, 0.9) compounds
by: A. V. Terekhov, et al.
Published: (2021)

Effect of atomic substitutions on the electronic structure of Pt1 – xNixMnSb alloys (x = 0.0–1.0)
by: V. N. Uvarov, et al.
Published: (2022)

Effect of atomic substitutions on the electronic structure of Pt1 – xNixMnSb alloys (x = 0.0–1.0)
by: V. N. Uvarov, et al.
Published: (2022)

Кристаллоструктурное состояние сплавов Mn1+xSb (0 ≤ x ≤ 1.0) после термобарической обработки
by: Рыжковский, В.М., et al.
Published: (2007)

The Volleben effect in magnetic superconductors Dy1–xYxRh4B4 (x = 0.2, 0.3, 0.4 and 0.6)
by: V. M. Dmitriev, et al.
Published: (2012)

Compositional studies of optical parameters in (Ag3AsS3)x(As2S3)1–x (x = 0.3; 0.6; 0.9) thin films
by: I. P. Studenyak, et al.
Published: (2016)

Магниторезонансные свойства манганита La₁₋xSrxMnO₃ (х = 0,15; 0,225; 0,3; 0,45; 0,6)
by: Калмыкова, Т.В., et al.
Published: (2015)

Antiferromagnet-ferromagnet transition in La₁–xSrxMn₀.₅Ni₀.₅O₃ (0 ≤ x ≤ 0.2) ceramics
by: Troyanchuk, I.O., et al.
Published: (2017)

On the Solution of a Singular Cauchy Problem for a First-Order Differential Equation Unsolved with Respect to the Derivative of an Unknown Function
by: Zernov, A. E., et al.
Published: (2001)

On the Asymptotic Behavior of Solutions of a Singular Cauchy Problem
by: Zernov, A. E., et al.
Published: (2001)

Thermoelectric properties of polycrystalline Bi1-xSbx solid solutions in the concentration range x = 0 – 0.25
by: A. N. Doroshenko, et al.
Published: (2016)

Josephson effect and Andreev reflection in Ba₁₋xNaxFe₂As₂ (x = 0.25 and 0.35) point contacts
by: Fisun, V.V., et al.
Published: (2014)

Synthesis, structure, and hydrogen sorption properties of the Nd0.5Pr0.5MgNi4—xFex AND Nd0.5Pr0.5MgNi4–xCux (x = 0.5, 1, 2) alloys
by: Yu. V. Verbovytskyi, et al.
Published: (2021)

On associative algebras satisfying the identity x⁵=0
by: Shestakov, I., et al.
Published: (2004)

Features of temperature dependences of electrical resistance in GdxPb1–xMo6S8 superconductors (x = 0.5, 0.7, and 0.9)
by: A. V. Terekhov, et al.
Published: (2020)

Электронный спиновой резонанс и магнитная восприимчивость твердых растворов Hg₁₋xCrxSe с 0,00112 ≤ x ≤ 0,07
by: Прозоровский, В.Д., et al.
Published: (1995)

ЕЛЕКТРОПРОВІДНІСТЬ ТВЕРДИХ РОЗЧИНІВ Pb0,86‑xSmxSn1,14F4+x
by: Pohorenko, Yuliia, et al.
Published: (2021)

Вплив вмісту титану на параметри взаємодії у системі Sm₂Co₁₇₋xTix—Н₂ (x = 1,7; 0,95; 0,5; 0,2 і 0,1)
by: Булик, І.І., et al.
Published: (2016)

Existence and Extendability of Solutions of the Equation $g(t, x) = 0$
by: Kaplun, Yu. I., et al.
Published: (2001)

Аномальный гистерезис в магниторезистивных керамических и пленочных образцах (La₀,₈Sr₀,₂)₁₋xMn₁₊xO₃ (0≤ х ≤ 0,4)
by: Довгий, В.Т., et al.
Published: (2003)

Ізовалентне заміщення в аніонній підґратці фаз загального складу KSrВі₂(PO₄)₃₋ₓ(VO₄)ₓ (х = 0÷3.0)
by: Струтинська, Н.Ю., et al.
Published: (2020)

Structure, phase transitions, 55Mn NMR and magnetoresistive properties of Pr0.6−xNdxSr0.3Mn1.1O3−δ (x = 0−0.6)
by: A. V. Pashchenko, et al.
Published: (2014)

Структура, фазовые переходы, ЯМР ⁵⁵Mn и магниторезистивные свойства Pr ₀,₆−xNdxSr₀,₃Mn₁,₁O₃−δ (x = 0−0,6)
by: Пащенко, А.В., et al.
Published: (2014)

Solid solutions of CdxHg₁₋xTe:V:Mn, CdxHg₁₋xTe:Ti:Mn (x = 0.9 – 0.95): growth and properties
by: Paranchych, S.Yu., et al.
Published: (2004)