Periodic solutions of second order nonlinear difference systems with φ-Laplacian: A variational approach
(2012) Nonlinear Analysis: Theory, Methods & Applications — Vol. 75, n° 12, p. 4672-4687 (2012)
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- Abstract
- T-periodic solutions of systems of difference equations of the form Δφ[Δu(n-1)]= <sup>∇u</sup>F[n,u(n)]+h(n)(n∈Z) where φ=∇Φ, Φ strictly convex, is a homeomorphism of <sup>RN</sup> onto the ball <sup>Ba</sup>⊂ <sup>RN</sup>, or of <sup>Ba</sup> onto <sup>RN</sup>, are considered under various conditions upon F and h. The approach is variational. © 2011 Elsevier Ltd. All rights reserved.
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Mawhin, J. (2012). Periodic solutions of second order nonlinear difference systems with φ-Laplacian: A variational approach. Nonlinear Analysis: Theory, Methods & Applications, 75(12), 4672-4687. https://doi.org/10.1016/j.na.2011.11.018 (Original work published 2012)