Abstract
The problem stated in the paper is to find solutions of equation (1) in the strip 0≤y≤a, and satisfying conditions (2), (3), α1, α1, α2,z, δ andf being functions which satisfy suitable conditions. This problem is equivalent with that to find solutions of (4), (5). If δ=0, the problem is one of generalized periodicity. Theorem 1–3 give sufficient conditions for the existence of required solutions.
This is a preview of subscription content, log in via an institution to check access.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
Cesari L.,A criterion for the existence in a strip of periodic solutions of hyperbolic differential equations., Rend. Circolo Mat. di Palermo, (2)14 (1965), 95–118.
Haimovici A.,Periodic solutions of differential equations with set functions as unknowns, Revue Roumaine de Math. pures et appliquées,19 (1974), 161–170.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Haimovici, A. On «bilocal» and periodicity problems for hyperbolic partial differential equations. Rend. Circ. Mat. Palermo 28, 239–257 (1979). https://doi.org/10.1007/BF02844098
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02844098