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

Latvijas Universitāte

Daugavpils University

Zinātniskās darbības rezultāts: Devums žurnālam › Zinātniskais raksts (žurnālā) › koleģiāli recenzēts

1 Atsauce (Scopus)

Kopsavilkums

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.

Oriģinālvaloda	Angļu
Lapas (no-līdz)	31-40
Lapu skaits	10
Žurnāls	Journal of Mathematical Sciences (United States)
Sējums	257
Izdevuma numurs	1
DOIs	https://doi.org/10.1007/s10958-021-05467-3
Publikācijas statuss	Publicēts - aug. 2021

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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",

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

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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

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

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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

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