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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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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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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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Numerical solutions of highly oscillatory integrals
Applied Mathematics and Computation, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Molabahrami, A., Khani, F.
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Oscillatory convection in a dilute3He-superfluid4He solution
Journal of Low Temperature Physics, 1985Convective instabilities in a rectangular, unity-aspect-ratio Rayleigh-Benard cell with a solution of 1.46%3He in superfluid4He have been studied in the temperature range 0.70–1.05 K, with a corresponding Prandtl number range of 0 ...
Y. Maeno +3 more
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Oscillatory solutions of the Falkner-Skan equation
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1985The Falkner-Skan equation for similarity solutions of the Prandtl boundary-layer equations for incompressible flow is analysed for both positive and negative values of the parameterβ. Forβ< — 1 branches of solutions with any number of intervals of overshoot are found analytically, and confirm recent numerical results.
Hastings, S. P., Troy, W.
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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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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 Boundary Value Problems
2016We consider boundary value problems of the form $$\displaystyle\begin{array}{rcl} & x'' = f(t,x,x'), & {}\\ & x(a) = A,\quad x(b) = B,& {}\\ \end{array}$$ assuming that f is continuous together with f x and fx′. We study also equations in a quasi-linear form $$\displaystyle{x'' + p(t)x' + q(t)x = F(t,x,x').}$$ Introducing types of ...
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