Positive solutions of -type retarded functional linear differential equations
Svoboda, Zdeněk
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Svoboda, Zdeněk
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Qian, Chuanxi, Sun, Yijun (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Olivier Ramaré (2009)
Annales mathématiques Blaise Pascal
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We give a simple proof of when is an odd primitiv quadratic Dirichlet character of conductor . In particular we do not use the Dirichlet class-number formula.
Bahk, Sarah Y., Dyakevich, Nadejda E., Johnson, Stefan C. (2008)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ionescu, Adela, Costescu, Mihai (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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Jing Zhang, Bingqing Ma (2011)
Communications in Mathematics
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Let be a complete noncompact Riemannian manifold. We consider gradient estimates on positive solutions to the following nonlinear equation in , where , are two real constants and , is a smooth real valued function on and . When is finite and the -Bakry-Emery Ricci tensor is bounded from below, we obtain a gradient estimate for positive solutions of the above equation. Moreover, under the assumption that -Bakry-Emery Ricci tensor is bounded from below and is bounded...