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Oscillatory Solutions of Fractional Integro-Differential Equations
Mathematical Methods in the Applied Sciences, 2020We give necessary conditions to get oscillatory solutions of a class of fractional order neutral differential equations with continuously distributed delay by means of the fractional derivative with respect to a given function. In particular, oscillatory solutions of the considered fractional equations with Caputo and Hadamard type of fractional ...
Joel E Restrepo, Durvudkhan Suragan
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Effect of oscillatory shear on polymer solutions
Physical Review E, 2002We consider the effects of oscillatory shear flow on small concentration fluctuations in polymer solutions, which we model as highly asymmetric entangled polymer blends. A simple model that enables us to predict the scattering patterns in the flow-vorticity plane is presented.
Dmitri, Miroshnychenko, Nigel, Clarke
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Numerical solutions of highly oscillatory integrals
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Molabahrami, F. Khani
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On Oscillatory Solutions of Quasilinear Differential Equations
The authors present necessary and sufficient conditions for the existence of at least one oscillatory solution of a second-order quasilinear differential equation. The results obtained yield also new conditions guaranteeing the coexistence of oscillatory and nonoscillatory solutions.
Zuzana Dosla, M Marini, M BartuĊĦek
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The numerical solution of oscillatory problems
International Journal of Computer Mathematics, 1990In this paper the authors develop some new formulae for the numerical solution of initial value problems whose solutions are known to be periodic.
B. B. Sanugi, D. J. Evans
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Oscillatory Hydrogen Solution in ZrV2
physica status solidi (b), 1999The effect of the solution of small amounts of hydrogen on the structure and structural phase transformation of the intermetallic compound ZrV 2 was studied using X-ray analysis and differential calorimetry. Additional maximum sattelites appeared in X-ray diffractograms after cooling of the hydrogen containing intermetallic ZrV 2 below T = 150 to 160 ...
L.S. Topchishvili +4 more
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On Connectedness: A Solution Based on Oscillatory Correlation
Neural Computation, 2000A long-standing problem in neural computation has been the problem of connectedness, first identified by Minsky and Papert (1969). This problem served as the cornerstone for them to establish analytically that perceptrons are fundamentally limited in computing geometrical (topological) properties.
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Oscillatory solutions of the rate equations
Physics Letters A, 1968Abstract It is shown that the rate equations for a system relaxing to black body radiation have no oscillatory solutions. A more convenient form of the equations for numerical calculation is given.
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Unbounded Oscillatory Solutions for a System of Interacting Populations
SIAM Journal on Applied Mathematics, 1985The authors consider an autonomous system of three ordinary differential equations: \[ (1)\quad \dot x=-f(z,x),\quad \dot y=g(x),\quad \dot z=h(y), \] where the functions f, g, h verify very simple assumptions: \[ f,\quad g,\quad h\quad are\quad C^ 2,\quad f(0,0)=g(0)=h(0),\quad f_ x\geq 0;\quad f_ z,g',\quad and\quad h'>0.
Cohen, Michael A., Levine, Daniel S.
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