An analysis of nonlocal difference equations with finite convolution coefficients

Existence of at least one positive solution to the second-order nonlocal difference equation - A ( ( a ∗ ( g ∘ u ) ) ( b ) ) ( Δ 2 u ) ( n ) = λ f ( n , u ( n + 1 ) ) , where ( a ∗ u ) ( b ) represents a finite convolution and g ∘ u denotes the composition of the functions g and u , is considered su...

Full description

Saved in:
Bibliographic Details
Published inFixed point theory and algorithms for sciences and engineering Vol. 24; no. 1; p. 1
Main Author Goodrich, Christopher S.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.02.2022
Springer Nature B.V
Subjects
Analysis
Boundary conditions
Calculus
Convolution
Difference equations
Mathematical Methods in Physics
Mathematics
Mathematics and Statistics
33B15
Secondary 39A12
coercivity
Convolution
positive solution
47H11
42A85
discrete fractional calculus
44A35
47H07
Primary 26D15
39A70
nonlocal difference equation
Online AccessGet full text

Cover

More Information
Summary:Existence of at least one positive solution to the second-order nonlocal difference equation - A ( ( a ∗ ( g ∘ u ) ) ( b ) ) ( Δ 2 u ) ( n ) = λ f ( n , u ( n + 1 ) ) , where ( a ∗ u ) ( b ) represents a finite convolution and g ∘ u denotes the composition of the functions g and u , is considered subject to Dirichlet boundary conditions. Since we use a specially tailored order cone, we are able to introduce minimal conditions on the coefficient function A .
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1661-7738
1661-7746
2730-5422
DOI:10.1007/s11784-021-00914-9