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PERIODICITY FOR A COOPERATIVE SYSTEM ON TIME SCALES
time scales cooperative system coincidence degree continuation theorem periodic solutions
2008/11/28
In this paper, by using the method of coincidence degree theory, we explore the existence
of periodic solutions for a cooperative ecological model on time scales.
We prove the Gr¨uss inequality on time scales and thus unify corresponding continuous
and discrete versions from the literature. We also apply our results to the quantum
calculus case.
Lebesgue-Stieltjes Measure on Time Scales
Time scales Lebesgue-Stieltjes D-measure Lebesgue-Stieltjes D-integral
2010/2/25
The theory of time scales was introduced by Stefan Hilger in his Ph. D. thesis in 1988, supervised by Bernd Auldbach, in order to unify continuous and discrete analysis [5]. Measure theory on time sca...
Derivation of Separable Amplitude Equations by Multiple Scales Method
Multiple Scales Method Three Component 2D Nonlinear Klein-Gordon Equation Separable Amplitude NLS Equation Spectral Problem Separable Integrable Hamiltonian system
2010/3/4
The method of multiple scales is used to derive separable nonlinear Schrödinger equations as amplitude equation from three component 2D nonlinear Klein-Gordon Equation. We further discuss the int...