Abstract
In this paper, we are interested in looking for multiple solutions for the following system of nonhomogenous Kirchhoff-type equations: (1.1) where constants a,c > 0;b,d,λ≥0, N = 1,2 or 3, f,g∈L2(RN) and f,g≢0, F∈C1(RN×R2,R), , V∈C(RN,R) satisfy some appropriate conditions. Under more relaxed assumptions on the nonlinear term F, the existence of one negative energy solution and one positive energy solution for the nonhomogenous system 2.1 is obtained by Ekeland's variational principle and Mountain Pass Theorem, respectively. Copyright © 2014 John Wiley & Sons, Ltd.
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