Homoclinic orbits for second-order discrete Hamiltonian systems with subquadratic potential.

Under the assumptions that [InlineEquation not available: see fulltext.] is indefinite sign and subquadratic as [InlineEquation not available: see fulltext.] and [InlineEquation not available: see fulltext.] satisfies [Equation not available: see fulltext.] for some constant [InlineEquation not available: see fulltext.], we establish a theorem on the existence of infinitely many homoclinic solutions for the second-order self-adjoint discrete Hamiltonian system [Equation not available: see fulltext.] where [InlineEquation not available: see fulltext.] and [InlineEquation not available: see fulltext.] are [InlineEquation not available: see fulltext.] real symmetric matrices for all [InlineEquation not available: see fulltext.], and [InlineEquation not available: see fulltext.] is always positive definite. MSC: 39A11, 58E05, 70H05. [ABSTRACT FROM AUTHOR]