Publication detail

The nonlinear Kneser problem for singular in phase variables second-order differential equations

PŮŽA, B. PARTSVANIA, N.

Original Title

The nonlinear Kneser problem for singular in phase variables second-order differential equations

Type

journal article in Web of Science

Language

English

Original Abstract

For the singular in phase variables differential equation u'' = f (t, u, u') ), sufficient conditions are found for the existence of a solution satisfying the conditions Phi(u) = c, u(t) > 0, u'(t) < 0 for t > 0, where Phi : C([0, a]; R+) to R+ is a continuous nondecreasing functional, c > 0, and a > 0.

Keywords

differential equation; second order; singular in phase variables; Kneser solution; Kneser problem; nonlinear

Authors

PŮŽA, B.; PARTSVANIA, N.

RIV year

2014

Released

30. 9. 2014

Publisher

Springer

Location

Heidelberg

ISBN

1687-2770

Periodical

Boundary Value Problems

Year of study

2014

Number

147

State

United States of America

Pages from

1

Pages to

17

Pages count

17

URL

Full text in the Digital Library

BibTex

@article{BUT109736,
  author="Bedřich {Půža} and Nino {Partsvania}",
  title="The nonlinear Kneser problem for singular in phase variables second-order differential equations",
  journal="Boundary Value Problems",
  year="2014",
  volume="2014",
  number="147",
  pages="1--17",
  doi="10.1186/s13661-014-0147-x",
  issn="1687-2770",
  url="https://boundaryvalueproblems.springeropen.com/articles/10.1186/s13661-014-0147-x"
}