In this section, we present basic notations and necessary preliminaries used throughout the paper.
In Section 2 we briefly present some basic notations and preliminaries.
For the very beginning we present some basic notations and definitions.
To apply critical point theory to discuss the existence of solutions for problem (1.1), we present some basic notations and lemmas and construct a variational framework, which will be used in the proof of our main results.
In Section 2, we present some basic notations and preliminaries; in Section 3, the existence result of system (1.1) is investigated by means of the Leray-Schauder nonlinear alternative, a special case of system (1.1) is also considered.
To formulate our main results on the existence of nontrivial solutions for the system ((P_{lambda })), we present the following basic notations and lemmas.
In "Preliminaries", the basic notations and definitions of the integral equations and the artificial neural networks are briefly presented.
Section 3 introduces basic notations and assumptions.
In Section 2, we recall some basic notations and concepts.
In Section 2, the basic notations and assumptions are introduced.
