Nonexistence and Existence Results for a Fourth-Order Discrete Mixed Boundary Value Problem

ホーム

Journal of Mathematical Sciences
- Vol. 30 (2023)
  No.1-No.2-No.3
- Vol. 29 (2022)
  No.1-No.2-No.3
- Vol. 28 (2021)
  No.1-No.2-No.3-No.4
- Vol. 27 (2020)
  No.1
- Vol. 26 (2019)
  No.1-No.2-No.3
- Vol. 25 (2018)
  No.1-No.2
- Vol. 24 (2017)
  No.1-No.2-No.3
- Vol. 23 (2016)
  No.1-No.2-No.3-No.4
- Vol. 22 (2015)
  No.1-No.2-No.3-No.4
- Vol. 21 (2014)
  No.1-No.2
- Vol. 20 (2013)
  No.1-No.2-No.3-No.4
- Vol. 19 (2012)
  No.1-No.2-No.3-No.4
- Vol. 18 (2011)
  No.1-No.2-No.3-No.4
- Vol. 17 (2010)
  No.1-No.2-No.3-No.4
- Vol. 16 (2009)
  No.1-No.2-No.3-No.4
- Vol. 15 (2008)
  No.1-No.2-No.3-No.4
- Vol. 14 (2007)
  No.1-No.2-No.3-No.4
- Vol. 13 (2006)
  No.1-No.2-No.3-No.4
- Vol. 12 (2005)
  No.1-No.2-No.3-No.4
- Vol. 11 (2004)
  No.1-No.2-No.3-No.4
- Vol. 10 (2003)
  No.1-No.2-No.3-No.4
- Vol. 9 (2002)
  No.1-No.2-No.3-No.4
- Vol. 8 (2001)
  No.1-No.2-No.3-No.4
- Vol. 7 (2000)
  No.1-No.2-No.3-No.4
- Vol. 6 (1999)
  No.1-No.2-No.3-No.4
- Vol. 5 (1998)
  No.1-No.2-No.3-No.4
- Vol. 4 (1997)
  No.1-No.2-No.3
- Vol. 3 (1996)
  No.1-No.2-No.3
- Vol. 2 (1995)
  No.1-No.2-No.3
- Vol. 1 (1994)
  No.1-No.2-No.3

J. Math. Sci. Univ. Tokyo
Vol. 21 (2014), No. 2, Page 335–353.

Liu, Xia ; Zhang, Yuanbiao ;Shi, Haiping
Nonexistence and Existence Results for a Fourth-Order Discrete Mixed Boundary Value Problem
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]

Abstract:
This paper is concerned with a class of fourth-order nonlinear difference equations. By making use of the critical point theory, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for mixed boundary value problem and give some new results. Results obtained generalize and complement the existing ones.

Keywords: Nonexistence and existence, Mixed boundary value problem, Fourth-order, Mountain Pass Lemma, Discrete variational theory.

Mathematics Subject Classification (2010): 39A10.

Mathematical Reviews Number: MR3288811

Received: 2013-11-29

このページのトップへ

〒153-8914　東京都目黒区駒場3-8-1　TEL:03-5465-7001（代表受付）　FAX：03-5465-7011（代表受付）