- 期刊
ALMOST-PERIODICITY IN LINEAR TOPOLOGICAL SPACES AND APPLICATIONS TO ABSTRACT DIFFERENTIAL EQUATIONS
並列摘要
Let E be a complete locally convex space (l.c.s.) and f : R→E a continuous function; then f is said to be almost-periodic (a.p.) if, for every neighbourhood (of the origin in E) U, there exists ℓ=ℓ(U)＞0 such that every interval [a,a+ℓ] of the real line contains at least one τ point such that f(t+τ)−f(t) ε U for every t ε R. We prove in this paper many useful properties of a.p. functions in l.c.s, and give Bochner's criteria in Fréchet spaces.
延伸閱讀
- Qu, L. (2001). Multiplicity and stability of two-dimensional reaction-diffusion equations [master's thesis, The University of Hong Kong]. Airiti Library. https://www.airitilibrary.com/Article/Detail?DocID=U0029-1812201200006067
- Kong, X. C., & Zheng, Z. W. (2011). Two-Point Oscillation for a Class of Second-Order Damped Linear Differential Equations. Abstract and Applied Analysis, (2011), 1556-1563. https://doi.org/10.1155/2011/420589
- Iqbal, M., Mustafa, M. T., & Siddiqui, A. A. (2014). A Method for Generating Approximate Similarity Solutions of Nonlinear Partial Differential Equations. Abstract and Applied Analysis, 2014(), 137-142. https://doi.org/10.1155/2014/105414
- Dhage, B. C. (2014). Approximation Methods in the Theory of Hybrid Differential Equations with Linear Perturbations of Second Type. Tamkang Journal of Mathematics, 45(1), 39-61. https://doi.org/10.5556/j.tkjm.45.2014.1328
- Pasic, M., & Tanaka, S. (2013). Fractal Oscillations of Chirp Functions and Applications to Second-Order Linear Differential Equations. International Journal of Differential Equations, 2013(), 277-287. https://doi.org/10.1155/2013/857410