Publication result detail

Solutions of singular antiperiodic boundary value problems

PŘIBYL, O.

Original Title

Solutions of singular antiperiodic boundary value problems

English Title

Solutions of singular antiperiodic boundary value problems

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

Sufficient conditions for the existence of a solution of the equation $$\Big (g(x'(t)) \Big )'=f\Big (t,x(t),x'(t)\Big)$$ with the antiperiodic conditions \mbox{$x(0)+x(T)=0$}, \mbox{$x'(0)+x'(T)=0$} are established. Our nonlinearity $f$ may be singular at its phase variables. The~proofs are based on a~combination of regularity and sequential techniques and use the~topological transversality principle.

English abstract

Sufficient conditions for the existence of a solution of the equation $$\Big (g(x'(t)) \Big )'=f\Big (t,x(t),x'(t)\Big)$$ with the antiperiodic conditions \mbox{$x(0)+x(T)=0$}, \mbox{$x'(0)+x'(T)=0$} are established. Our nonlinearity $f$ may be singular at its phase variables. The~proofs are based on a~combination of regularity and sequential techniques and use the~topological transversality principle.

Keywords

singular second-order differential equation, g-Laplacian, antiperiodic boundary conditions, topological transversality principle

Key words in English

singular second-order differential equation, g-Laplacian, antiperiodic boundary conditions, topological transversality principle

Authors

PŘIBYL, O.

Released

10.06.2005

ISBN

1586-8850

Periodical

Miskolc Mathematical Notes

Volume

6

Number

1

State

Hungary

Pages from

47

Pages to

64

Pages count

18

BibTex

@article{BUT46132,
  author="Oto {Přibyl}",
  title="Solutions of singular antiperiodic boundary value problems",
  journal="Miskolc Mathematical Notes",
  year="2005",
  volume="6",
  number="1",
  pages="47--64",
  issn="1586-8850"
}