scholarly journals A critical point approach to boundary value problems on the real line

2018 ◽  
Vol 76 ◽  
pp. 215-220 ◽  
Author(s):  
Martin Bohner ◽  
Giuseppe Caristi ◽  
Shapour Heidarkhani ◽  
Shahin Moradi
Keyword(s):  
Boundary Value Problems ◽  
Critical Point ◽  
Real Line ◽  
Boundary Value ◽  
The Real

scholarly journals Non-autonomous boundary value problems on the real line

2006 ◽  
Vol 15 (3) ◽  
pp. 759-776 ◽  
Author(s):  
Barbara Bianconi ◽  
◽  
Francesca Papalini
Keyword(s):  
Boundary Value Problems ◽  
Real Line ◽  
Boundary Value ◽  
The Real

Hilbert boundary value problems—a distributional approach

1977 ◽  
Vol 77 (3-4) ◽  
pp. 193-208 ◽  
Author(s):  
Marion Orton
Keyword(s):  
Boundary Value Problems ◽  
Half Space ◽  
Open Subset ◽  
Real Line ◽  
Boundary Value ◽  
Growth Conditions ◽  
The Real ◽  
Singular Support ◽  
Schwartz Distributions ◽  
Finite Set

SynopsisHilbert boundary value problems for a half-space are considered for analytic representations of Schwartz distributions: given data g ∈D'(ℛ) and a coefficient x we seek functions F(z) analytic for Jmz≠0 whose limits exist in D'(ℛ) and satisfy F+—XF– = g on an open subset U of the real line R. U is the complement of a finite set which contains the singular support and the zeros of X·X and its reciprocal satisfy certain growth conditions near the boundary points of U. Solutions F(z) are shown to exist, and their general form is determined by obtaining a suitable factorisation of x.

Existence of the Solutions for a Class of Nonlinear Difference Systems Boundary Value Problem

2013 ◽  
Vol 281 ◽  
pp. 312-318
Author(s):  
Fang Su ◽  
Xue Wen Qin
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Critical Point ◽  
Critical Point Theory ◽  
Boundary Value ◽  
Point Theory ◽  
Difference Systems

In this paper, by using critical point theory, we obtain a new result on the existence of the solutions for a class of difference systems boundary value problems. Results obtained extend or improve existing ones.

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