The existence of at least one positive solution to a large class of both integer-and fractional-
order nonlocal differential equations, of which one model case is-A⁢((b* uq)⁢(1))⁢ …

For q≥ 1 we consider the one-dimensional Kirchhoff-type problem-A ((a∗(u′) q)(1))
u′′(t)= λ f (t, u (t)), t∈(0, 1), where a∗(u′) q represents a finite convolution, subject to …

We consider, for $ q> 1$, the one-dimensional Kirchhoff-type problem\begin
{equation}\begin {split}-A\left (\int _0^ 1\big (u'(s)\big)^ q\ds\right) u''(t) &=\lambda f\big (u …

For continuous functions A and B, which are allowed to change sign, we consider the
nonlocal differential equation− A ((a∗ uq)(1)) u ″(t)= λ B ((b∗ up)(1)) f (t, u (t)), t∈(0, 1) …

Nonlocal differential equations with (p,q)$ {(p,q)}$ growth Page 1 Received: 31 March 2022
Revised: 2 November 2022 Accepted: 7 December 2022 DOI: 10.1112/blms.12798 Bulletin …

This research is concerned with a nonlinear p-Laplacian-type wave equation with a strong
damping and logarithmic source term under the null Dirichlet boundary condition. We …

For a continuous function A: R→ R the existence of at least one positive solution of the
nonlocal differential equation− A∫ 0 1 (g∘ u)(s) dsu′′(t)= λ f (t, u (t)), t∈(0, 1) is …

We consider nonlocal differential equations with convolution coefficients of the form− M
((a⁎(g∘| u′|))(1)) u ″(t)= λ f (t, u (t)), t∈(0, 1), in which the coefficient function M imparts a …

We consider nonlocal differential equations with convolution coefficients of the form\begin
{equation}-M\Big (\big (a* u^ q\big)(1)\Big) u''(t)=\lambda f\big (t, u (t)\big), t\in (0 …

The main goal of this work is to study the initial boundary value problem of a nonlocal heat
equations with logarithmic nonlinearity in a bounded domain. By using the logarithmic …