On the Number of Solutions for a Certain Class of Nonlinear Second-Order Boundary-Value Problems

A. Kirichuka; F. Sadyrbaev

doi:10.1007/s10958-021-05467-3

On the Number of Solutions for a Certain Class of Nonlinear Second-Order Boundary-Value Problems

A. Kirichuka
, F. Sadyrbaev

University of Latvia

Daugavpils University

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

The boundary-value problem for the differential equation with quadratic nonlinearity x'' = −ax + bx² with the boundary conditions x' (0) = x' (T) = 0 is considered. The number of solutions of the boundary-value problem is found. An illustrative example is presented.

Original language	English
Pages (from-to)	31-40
Number of pages	10
Journal	Journal of Mathematical Sciences (United States)
Volume	257
Issue number	1
DOIs	https://doi.org/10.1007/s10958-021-05467-3
Publication status	Published - Aug 2021

Keywords

34B15
34C10
34C37
boundary-value problem
Jacobian elliptic function
multiplicity of solutions
phase trajectory
quadratic nonlinearity

OECD Field of Science

1.1 Mathematics

Access to Document

10.1007/s10958-021-05467-3

Cite this

@article{16f04318f1874bfd9f56c890d98fc928,

title = "On the Number of Solutions for a Certain Class of Nonlinear Second-Order Boundary-Value Problems",

abstract = "The boundary-value problem for the differential equation with quadratic nonlinearity x'' = −ax + bx2 with the boundary conditions x' (0) = x' (T) = 0 is considered. The number of solutions of the boundary-value problem is found. An illustrative example is presented.",

keywords = "34B15, 34C10, 34C37, boundary-value problem, Jacobian elliptic function, multiplicity of solutions, phase trajectory, quadratic nonlinearity",

author = "A. Kirichuka and F. Sadyrbaev",

note = "Publisher Copyright: {\textcopyright} 2021, Springer Science+Business Media, LLC, part of Springer Nature.",

year = "2021",

month = aug,

doi = "10.1007/s10958-021-05467-3",

language = "English",

volume = "257",

pages = "31--40",

journal = "Journal of Mathematical Sciences (United States)",

issn = "1072-3374",

publisher = "Consultants Bureau",

number = "1",

}

TY - JOUR

T1 - On the Number of Solutions for a Certain Class of Nonlinear Second-Order Boundary-Value Problems

AU - Kirichuka, A.

AU - Sadyrbaev, F.

PY - 2021/8

Y1 - 2021/8

N2 - The boundary-value problem for the differential equation with quadratic nonlinearity x'' = −ax + bx2 with the boundary conditions x' (0) = x' (T) = 0 is considered. The number of solutions of the boundary-value problem is found. An illustrative example is presented.

AB - The boundary-value problem for the differential equation with quadratic nonlinearity x'' = −ax + bx2 with the boundary conditions x' (0) = x' (T) = 0 is considered. The number of solutions of the boundary-value problem is found. An illustrative example is presented.

KW - 34B15

KW - 34C10

KW - 34C37

KW - boundary-value problem

KW - Jacobian elliptic function

KW - multiplicity of solutions

KW - phase trajectory

KW - quadratic nonlinearity

UR - https://link.springer.com/article/10.1007/s10958-021-05467-3

UR - https://www.scopus.com/pages/publications/85111548216

U2 - 10.1007/s10958-021-05467-3

DO - 10.1007/s10958-021-05467-3

M3 - Article

SN - 1072-3374

VL - 257

SP - 31

EP - 40

JO - Journal of Mathematical Sciences (United States)

JF - Journal of Mathematical Sciences (United States)

IS - 1

ER -

On the Number of Solutions for a Certain Class of Nonlinear Second-Order Boundary-Value Problems

Abstract

Keywords

OECD Field of Science

Access to Document

Other files and links

Fingerprint

Cite this