The Existence of <i>n</i> Symmetric Positive Solutions to A Fourth-Order Two-Point Boundary Value Problem

LI Xian; DA Juxia; ZHANG Huan

doi:10.6054/j.jscnun.2024015

LI Xian, DA Juxia, ZHANG Huan. The Existence of n Symmetric Positive Solutions to A Fourth-Order Two-Point Boundary Value Problem[J]. Journal of South China Normal University (Natural Science Edition), 2024, 56(1): 123-127. DOI: 10.6054/j.jscnun.2024015

Citation:

The Existence of n Symmetric Positive Solutions to A Fourth-Order Two-Point Boundary Value Problem

Graphical Abstract

Abstract

Abstract

Applying of the monotone iterative technique, the existence of positive solutions to the fourth-order boundary value problem is studied: \begingatheredu^(4)(t)=f(u(t)) \quad(t ? 0, 1), \\u(0)=u(1)=0, u^\prime \prime(0)=u^\prime \prime(1)=0.\endgathered The above boundary value problem has n symmetric positive solutions under certain conditions.

FullText(HTML)

References (16)

Cited By

Turn off MathJax

Article Contents

The Existence of n Symmetric Positive Solutions to A Fourth-Order Two-Point Boundary Value Problem

Abstract

Catalog

Export File

Citation

Format

Content