Almost automorphic solutions to some differential equations in Banach spaces.
N'Guérékata, Gaston Mandata (2000)
International Journal of Mathematics and Mathematical Sciences
Alexandr Fischer (2012)
Mathematica Bohemica
The paper is the extension of the author's previous papers and solves more complicated problems. Almost periodic solutions of a certain type of almost periodic linear or quasilinear systems of neutral differential equations are dealt with.
Khukhunashvili, Z.Z., Khukhunashvili, V.Z. (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Nasim, C. (1987)
International Journal of Mathematics and Mathematical Sciences
Karel Beneš (1990)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Rodrigues, Maria Manuela (2011)
Applied Mathematics E-Notes [electronic only]
Alexander D. Bruno (2011)
Banach Center Publications
Here we present basic ideas and algorithms of Power Geometry and give a survey of some of its applications. In Section 2, we consider one generic ordinary differential equation and demonstrate how to find asymptotic forms and asymptotic expansions of its solutions. In Section 3, we demonstrate how to find expansions of solutions to Painlevé equations by this method, and we analyze singularities of plane oscillations of a satellite on an elliptic orbit. In Section 4, we consider the problem of local...
Srinivasa Rao, Ch., Sachdev, P.L., Ramaswamy, Mythily (2001)
Mathematical Problems in Engineering
Khorasani, Sina, Adibi, Ali (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Alessandra Lunardi (1981)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Studia l’analiticità della soluzione massimale di una equazione parabolica astratta in spazi di Banach.
Charles L. Fefferman, Luis A. Seco (1993)
Revista Matemática Iberoamericana
In [FS1] we announced a precise asymptotic formula for the ground-state energy of a non-relativistic atom. The purpose of this paper is to establish an elementary inequality that plays a crucial role in our proof of that formula. The inequality concerns the Thomas-Fermi potentialVTF = -y(ar) / r, a > 0, where y(r) is defined as the solution of⎧ y''(x) = x-1/2y3/2(x),⎨ y(0) = 1,⎩ y(∞) = 0.
Laguerre (1871)
Bulletin des Sciences Mathématiques et Astronomiques
Karel Beneš (1988)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Jung, Soon-Mo (2010)
Journal of Inequalities and Applications [electronic only]
Jitka Laitochová (1995)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
Debnath, Joyati, Debnath, Narayan C. (1991)
International Journal of Mathematics and Mathematical Sciences
Zdeněk Svoboda (2012)
Mathematica Bohemica
We study the asymptotic behavior of the solutions of a differential equation with unbounded delay. The results presented are based on the first Lyapunov method, which is often used to construct solutions of ordinary differential equations in the form of power series. This technique cannot be applied to delayed equations and hence we express the solution as an asymptotic expansion. The existence of a solution is proved by the retract method.
Zdeněk Hustý (1969)
Czechoslovak Mathematical Journal
Ivo Res (1973)
Archivum Mathematicum
Ivo Res (1974)
Archivum Mathematicum