A characterization of damped and undamped harmonic oscillations by a superposition property II.
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Schöpf, Peter, Schwaiger, Jens (2005)
Mathematica Pannonica
L. Carlitz (1980)
Rendiconti del Seminario Matematico della Università di Padova
Zhan-Dong Mei, Ji-Gen Peng, Jun-Xiong Jia (2014)
Studia Mathematica
A new characteristic property of the Mittag-Leffler function with 1 < α < 2 is deduced. Motivated by this property, a new notion, named α-order cosine function, is developed. It is proved that an α-order cosine function is associated with a solution operator of an α-order abstract Cauchy problem. Consequently, an α-order abstract Cauchy problem is well-posed if and only if its coefficient operator generates a unique α-order cosine function.
Hiroshi Haruki (1987)
Aequationes mathematicae
D. Masser (1976)
Acta Arithmetica
Miloš Háčik, Peter Ivan (1984)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
P. M. Jordan, J. K. Fulford (2011)
Applications of Mathematics
A mathematical analysis of poroacoustic traveling wave phenomena is presented. Assuming that the fluid phase satisfies the perfect gas law and that the drag offered by the porous matrix is described by Darcy's law, exact traveling wave solutions (TWS)s, as well as asymptotic/approximate expressions, are derived and examined. In particular, stability issues are addressed, shock and acceleration waves are shown to arise, and special/limiting cases are noted. Lastly, connections to other fields are...
Villarino, Mark B. (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
H.Ch. Agrawall (1975)
Publications de l'Institut Mathématique [Elektronische Ressource]
Jang, Lee-Chae, Ryoo, Cheon-Seoung (2008)
Abstract and Applied Analysis
Kim, Taekyun, Hwang, Kyung-Won, Lee, Byungje (2009)
Advances in Difference Equations [electronic only]
Machado, Tenreiro, Kiryakova, Virginia, Mainardi, Francesco (2010)
Fractional Calculus and Applied Analysis
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development. The accompanying poster illustrates the major contributions during the period 1966-2010.
Chaudhry, M.Aslam, Ahmad, Munir (1998)
International Journal of Mathematics and Mathematical Sciences
Josef Hofbauer (1981)
Aequationes mathematicae
Josef Hofbauer (1981)
Aequationes mathematicae
Cohen, Henri, Lewin, Leonard, Zagier, Don (1992)
Experimental Mathematics
Tracy, Craig A., Widom, Harold (2003)
Electronic Communications in Probability [electronic only]
Agrawal, Hukum Chand (1983)
Publications de l'Institut Mathématique. Nouvelle Série
L. Lewin, Xiao Hongnian, M. Abouzahra (1988)
Aequationes mathematicae
G. Chudnovsky (1980)
Inventiones mathematicae
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