On stability properties of solutions of second order differential equations.
Hatvani, L. (2000)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Time asymptotic description of an abstract Cauchy problem solution and application to transport equation”
On stability properties of solutions of second order differential equations.
Quasilinearization for the periodic boundary value problem for hybrid differential equation
L. Hall, S. Hristova (2004)
Open Mathematics
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The method of quasilinearization for a periodic boundary value problem for nonlinear hybrid differential equations is studied. It is shown that the convergence is quadratic.
Multipoint BVPs for second-order functional differential equations with impulses.
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Integral bvps for a class of first-order impulsive functional differential equations.
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On the stability of the linear delay differential and difference equations.
Ashyralyev, A., Sobolevskii, P.E. (2001)
Abstract and Applied Analysis
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Infinite boundary value problems for second-order nonlinear impulsive differential equations with supremum.
Shi, Piao-Piao, Wang, Wen-Xia (2010)
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An IMEX scheme for reaction-diffusion equations: application for a PEM fuel cell model
István Faragó, Ferenc Izsák, Tamás Szabó, Ákos Kriston (2013)
Open Mathematics
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An implicit-explicit (IMEX) method is developed for the numerical solution of reaction-diffusion equations with pure Neumann boundary conditions. The corresponding method of lines scheme with finite differences is analyzed: explicit conditions are given for its convergence in the ‖·‖∞ norm. The results are applied to a model for determining the overpotential in a proton exchange membrane (PEM) fuel cell.
Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators
Adam Kanigowski, Wojciech Kryszewski (2012)
Open Mathematics
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We study several aspects of a generalized Perron-Frobenius and Krein-Rutman theorems concerning spectral properties of a (possibly unbounded) linear operator on a cone in a Banach space. The operator is subject to the so-called tangency or weak range assumptions implying the resolvent invariance of the cone. The further assumptions rely on relations between the spectral and essential spectral bounds of the operator. In general we do not assume that the cone induces the Banach lattice...
Solvability of second-order -point boundary value problems with impulses.
Li, Jianli, Liu, Sanhui (2007)
Boundary Value Problems [electronic only]
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