In fact, in the previous studies, this technique has given eigenvalue problems for non-symmetric matrices for which the problem of the existence of complex eigenvalues arises.
The idea of the proof is to transfer the problem of the existence of solutions for (1.1) into the problem of the existence of a minimizer for some associated energy functional.
Some recent papers have treated the problem of the existence of solutions for impulsive fractional differential equations.
The problem of the existence of solutions for partial functional differential equations with state-dependent delay has been recently treated in the literature in [11 15].
We next consider the problem of the existence of mild solutions for the system (4.1).
Applications to the problem of the existence of positive solutions for the semilinear elliptic equation −Δu = σ(x) uq + w(x) (1 < q < ∈) on Rn are given.
In this paper, we study the question above and the problem of the existence of meromorphic solutions for a system of complex difference equations (3), where p ( z ) is a polynomial, and obtain the following results.
If L ( t ) is neither constant nor periodic in t, the problem of the existence of homoclinic solutions for (HS) is quite different from the one just described due to the lack of compactness of the Sobolev embedding.
