An analysis of nonlocal difference equations with finite convolution coefficients

Nonlocal differential equations with (p,q)$ {(p,q)}$ growth

“…In a series of recent papers Goodrich [27–32] together with Lizama [35] has greatly expanded the types of nonlocal problems from the model cases (1.4)–(1.5). More precisely, by using a specially tailored order cone, namely, $$$$\begin{equation*} \mathcal {K}:=\Big \lbrace u\in \mathcal {C}{\left([0,1]\right)}\ : \ u\geqslant 0\text{ and }(a*u)(1)\geqslant C_0\Vert u\Vert _{\infty }\Big \rbrace ,\nonumber \end{equation*}$$$$for a positive constant $$C_0$$ to be defined in Section 2, the far more general problem (1.1) can be considered.…”

“…In a series of recent papers Goodrich [27][28][29][30][31][32] together with Lizama [35] has greatly expanded the types of nonlocal problems from the model cases (1.4)-(1.5). More precisely, by using a specially tailored order cone, namely,…”

Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations

“…Therefore, nonlocal problems have been widely studied by many authors. We refer the reader to Goodrich [7][8][9], Lacey [11,12], Stańczy [14], [2][3][4]10], and the references therein. One of the main interest in this area is the existence of positive solutions.…”