Concrete algebraic cohomology for the group (â„, +) or how to solve the functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦)
-
Mihai Prunescu
mihai.prunescu@math.uni-freiburg.de
Downloads
Abstract
The functional equation ð‘“(ð‘¥+ð‘¦) - ð‘“(ð‘¥) - ð‘“(ð‘¦) = ð‘”(ð‘¥, ð‘¦) has a solution ð‘“ that belongs to C0(â„) if and only if the symmetric cocycle ð‘” belongs to C0(â„2). If the symmetric cocyle ð‘” is recursively approximable, there exists a solution ð‘“ which is recursively approximable also. If ð‘” belongs to C1(â„2) then there exists an integral expression in ð‘” for a solution ð‘“ that belongs to C1(â„), and the same happens for the classes Ck, C∞, analytic and polynomial.
Keywords
Similar Articles
- Syed Abbas, Weighted pseudo almost automorphic solutions of fractional functional differential equations , CUBO, A Mathematical Journal: Vol. 16 No. 1 (2014): CUBO, A Mathematical Journal
- Tatyana A. Komleva, Andrej V. Plotnikov, Natalia V. Skripnik, Some properties of solutions of a linear set-valued differential equation with conformable fractional derivative , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Kunio Yoshino, Analytic continuation and applications of eigenvalues of Daubechies‘ localization operator , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Khalil Ezzinbi, Valerie Nelson, Gaston N‘Gu´er´ekata, ð¶â½â¿â¾-Almost Automorphic Solutions of Some Nonautonomous Differential Equations , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- E. A. Eljamal, M. Darus, Majorization for certain classes of analytic functions defined by a new operator , CUBO, A Mathematical Journal: Vol. 14 No. 1 (2012): CUBO, A Mathematical Journal
- Gabriel M. Antón Marval, René E. Castillo, Julio C. Ramos-Fernández, Maximal functions and properties of the weighted composition operators acting on the Korenblum, α-Bloch and α-Zygmund spaces , CUBO, A Mathematical Journal: Vol. 19 No. 1 (2017): CUBO, A Mathematical Journal
- Elena I. Kaikina, Leonardo Guardado-Zavala, Hector F. Ruiz-Paredes, S. Juarez Zirate, Korteweg-de Vries-Burgers equation on a segment , CUBO, A Mathematical Journal: Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal
- Hugo Leiva, Jesús Matute, Nelson Merentes, José Sánchez, On a type of Volterra integral equation in the space of continuous functions with bounded variation valued in Banach spaces , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- George Venkov, Small Data Global Existence and Scattering for the Mass-Critical Nonlinear Schrödinger Equation with Power Convolution in ℳ , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Daoyuan Fang, Tailong Li, Global Weak Solutions to the Landau-Lifshitz System in 3D , CUBO, A Mathematical Journal: Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.