An analysis of nonlocal difference equations with finite convolution coefficients

被引：7
作者：
Goodrich, Christopher S. [1 ]
机构：
[1] UNSW Sydney, Sch Math & Stat, Sydney, NSW 2052, Australia
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2022年 / 24卷 / 01期
关键词：
Convolution; nonlocal difference equation; coercivity; positive solution; discrete fractional calculus; HAMMERSTEIN INTEGRAL-EQUATIONS; RADIALLY SYMMETRIC-SOLUTIONS; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; KIRCHHOFF-TYPE; ELLIPTIC EQUATION; EXISTENCE; SYSTEMS; SUB; MONOTONICITY;
D O I：
10.1007/s11784-021-00914-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Existence of at least one positive solution to the second-order nonlocal difference equation -A((a(*)(g o u)(b)) (Delta(2)u)(n) = lambda f(n, u(n + 1)), where (a (*) u)(b) represents a finite convolution and g o 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.
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页数：19
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