Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem

Xia Liu; Yuanbiao Zhang; Haiping Shi

Araştırma Makalesi

Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem

Yıl 2015, Cilt: 44 Sayı: 4, 855 - 866, 01.08.2015

Xia Liu , Yuanbiao Zhang Haiping Shi

Öz

In this paper, a fourth-order nonlinear difference equation is considered.
By making use of the critical point theory, we establish various sets of
sufficient conditions for the existence and nonexistence of solutions for
Dirichlet boundary value problem and give some new results. Our
results generalize and complement the results in the literature.

Anahtar Kelimeler

Existence and nonexistence, Dirichlet boundary value problem, Fourth-order, Mountain Pass Lemma, Discrete variational theory

Kaynakça

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Yıl 2015, Cilt: 44 Sayı: 4, 855 - 866, 01.08.2015

Xia Liu , Yuanbiao Zhang Haiping Shi

Öz

Kaynakça

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Toplam 1 adet kaynakça vardır.

Ayrıntılar

Birincil Dil	İngilizce
Konular	Matematik
Bölüm	Matematik
Yazarlar	Xia Liu Yuanbiao Zhang Haiping Shi
Yayımlanma Tarihi	1 Ağustos 2015
Yayımlandığı Sayı	Yıl 2015 Cilt: 44 Sayı: 4

Kaynak Göster

APA	Liu, X., Zhang, Y., & Shi, H. (2015). Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics, 44(4), 855-866.
AMA	Liu X, Zhang Y, Shi H. Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics. Ağustos 2015;44(4):855-866.
Chicago	Liu, Xia, Yuanbiao Zhang, ve Haiping Shi. “Existence and Nonexistence Results for a Fourth-Order Discrete Dirichlet Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics 44, sy. 4 (Ağustos 2015): 855-66.
EndNote	Liu X, Zhang Y, Shi H (01 Ağustos 2015) Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics 44 4 855–866.
IEEE	X. Liu, Y. Zhang, ve H. Shi, “Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem”, Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 4, ss. 855–866, 2015.
ISNAD	Liu, Xia vd. “Existence and Nonexistence Results for a Fourth-Order Discrete Dirichlet Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics 44/4 (Ağustos 2015), 855-866.
JAMA	Liu X, Zhang Y, Shi H. Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics. 2015;44:855–866.
MLA	Liu, Xia vd. “Existence and Nonexistence Results for a Fourth-Order Discrete Dirichlet Boundary Value Problem”. Hacettepe Journal of Mathematics and Statistics, c. 44, sy. 4, 2015, ss. 855-66.
Vancouver	Liu X, Zhang Y, Shi H. Existence and nonexistence results for a fourth-order discrete Dirichlet boundary value problem. Hacettepe Journal of Mathematics and Statistics. 2015;44(4):855-66.