Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence

• Autorzy: Yuhua Long , Baoling Zeng
• Języki publikacji: EN

Abstrakty

EN

In this paper, we study second-order nonlinear discrete Robin boundary value problem with parameter dependence. Applying invariant sets of descending flow and variational methods, we establish some new sufficient conditions on the existence of sign-changing solutions, positive solutions and negative solutions of the system when the parameter belongs to appropriate intervals. In addition, an example is given to illustrate our results.

Słowa kluczowe

EN

Sign-changing solution; Difference equation; Robin boundary value problem; Invariant sets of descending flow

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2017
• Tom: 15
• Numer: 1
• Strony: 1549-1557

Daty

wydano

2017-01-01

otrzymano

2017-08-02

zaakceptowano

2017-10-24

online

2017-12-29

Twórcy

autor

Yuhua Long

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autor

Baoling Zeng

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Identyfikatory

DOI

10.1515/math-2017-0129