Existence and nonexistence results for second-order Neumann boundary value problem

Journal Title: Surveys in Mathematics and its Applications - Year 2009, Vol 4, Issue 0

Abstract

In this paper some existence and nonexistence results for positive solutions are obtained for second-order boundary value problem <CENTER>-u"+Mu=f(t,u), t∈(0,1) </CENTER>with Neumann boundary conditions <CENTER>u'(0)=u'(1)=0, </CENTER>where M>0, f∈<B>C</B>([0,1]×<B>R</B><SUP>+</SUP>, <B>R</B><SUP>+</SUP>). By making use of fixed point index theory in cones, some new results are obtained.

Authors and Affiliations

Feng Wang, Yujun Cui, Fang Zhang

Keywords

Related Articles

Uncertainty functional differential equations for finance

In this paper, we prove a local existence and uniqueness result for uncertain functional differential equation driven by canonical process.

On the Linking Algebra of Hilbert Modules and Morita Equivalence of Locally C<sup>*</sup>-Algebras

In this paper we introduce the notion of linking algebra of a Hilbert module over a locally C&lt;sup&gt;*&lt;/sup&gt;-algebra and we extend in the context of locally C&lt;sup&gt;*&lt;/sup&gt;-algebras a result of Brown,...

On a recurrence relation of generalized Mittag-Leffler function

The principal aim of this paper is to investigate a recurrence relation and an integral representation of generalized Mittag-Leffler function E&lt;SUB&gt;α ,β &lt;/SUB&gt;&lt;SUP&gt;γ ,q&lt;/SUP&gt; (z). In the end sever...

New result of existence of periodic solution for a Hopfield neural networks with neutral time-varying delays

In this paper, a Hopfield neural network with neutral time-varying delays is investigated by using the continuation theorem of Mawhin's coincidence degree theory and some analysis technique. Without assuming the continuo...

Multiple periodic solutions for a fourth-order discrete Hamiltonian system

By means of a three critical points theorem proposed by Brezis and Nirenberg and a general version of Mountain Pass Theorem, we obtain some multiplicity results for periodic solutions of a fourth-order discrete Hamiltoni...

Download PDF file
  • EP ID EP113371
  • DOI -
  • Views 106
  • Downloads 0

How To Cite

Feng Wang, Yujun Cui, Fang Zhang (2009). Existence and nonexistence results for second-order Neumann boundary value problem. Surveys in Mathematics and its Applications, 4(0), 1-14. https://europub.co.uk/articles/-A-113371