Conditional oscillation of half-linear Euler-type dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2015 We investigate second-order half-linear Euler-type dynamic equations on time scales with positive periodic coefficients. We show that these equations are conditionally oscillatory, i.e., there exists a sharp borderline (a constant given by the ...
Petr Hasil, J. Vítovec
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Conditional Oscillation of Half-Linear Differential Equations with Coefficients Having Mean Values [PDF]
Abstract and Applied Analysis, 2014 We prove that the existence of the mean values of coefficients is sufficient for second-order half-linear Euler-type differential equations to be conditionally oscillatory.
Petr Hasil +2 more
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Decomposition of skill scores for conditional verification: impact of Atlantic Multidecadal Oscillation phases on the predictability of decadal temperature forecasts [PDF]
Geoscientific Model DevelopmentAs the performance of weather and climate forecasting systems and their benchmark systems are generally not homogeneous in time and space and may vary in specific situations, improvements in certain situations or subsets have different effects on overall
A. Richling, J. Grieger, H. W. Rust
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Oscillatory and non-oscillatory solutions of dynamic equations with bounded coefficients
Electronic Journal of Differential Equations, 2018 We analyze second-order half-linear dynamic equations on time scales. We prove oscillation and non-oscillation criteria which are sharp in the sense that the considered equations remain uncovered only for one setting of their coefficients.
Petr Hasil, Michal Vesely
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Conditions for the oscillation of solutions ofiterative equations [PDF]
Abstract and Applied Analysis, 2004 We give some oscillation criteria for linear iterative functional equations. We compare obtained theorems with known results. We give applications to discrete equations too.
Nowakowska, Wiesława +1 more
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Necessary and Sufficient Conditions for Oscillations
The American Mathematical Monthly, 1983 (1983). Necessary and Sufficient Conditions for Oscillations. The American Mathematical Monthly: Vol. 90, No. 9, pp. 637-640.
Ladas, G. +2 more
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Conditions of existence of oscillations for hybrid systems [PDF]
IFAC Proceedings Volumes, 2013 The paper extends the notion of oscillations in the sense of Yakubovich to hybrid dynamics. Several sufficient stability and instability conditions for a forward invariant set are presented. The consideration is motivated by analysis of a model of two-link compass-gait biped robot.
Efimov, Denis +2 more
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Oscillation and non-oscillation criterion for Riemann–Weber type half-linear differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 By the combination of the modified half-linear Prüfer method and the Riccati technique, we study oscillatory properties of half-linear differential equations.
Petr Hasil, Michal Veselý
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Characterization of information-based learning benefits with submovement dynamics and muscular rhythmicity. [PDF]
PLoS ONE, 2013 For skill advancement, motor variability must be optimized based on target information during practice sessions. This study investigated structural changes in kinematic variability by characterizing submovement dynamics and muscular oscillations after ...
Ing-Shiou Hwang +3 more
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Minimality Condition and Atmospheric Neutrino Oscillations [PDF]
Physical Review Letters, 1998 A structure is proposed for the mass matrices of the quarks and leptons that arises in a natural way from the assumption that the breaking of SO(10) gauge symmetry is achieved by the smallest possible set of vacuum expectation values. This structure explains well many features of the observed spectrum of quarks and leptons.
Albright, Carl H. +2 more
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