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Plate oscillations with mixed boundary conditions

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023
The problem with initial conditions for the equation of vibrations of a rectangular plate with mixed boundary conditions was examined by the author of this study. It is determined that there is an energy inequality, which implies that the solution to the given initial-boundary problem is unique.
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Interval Oscillation Conditions for Difference Equations

SIAM Journal on Mathematical Analysis, 1995
Oscillatory properties of solutions of symmetric linear difference equation \(\Delta(p_n \Delta x_n)+ q(t) y(t)= 0\) which is the discrete analogue of the well-known differential equation \((p(t) y'(t))'+ q(t) y(t)= 0\) are discussed.
Kong, Q., Zettl, A.
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Coherence condition for resonant neutrino oscillation

Physical Review D, 1990
which holds the key for matter oscillation has not been mentioned in relation to the MSW effect until now. We study the coherence condition for a neutrino to keep coherence between the effective mass eigenstates in the presence of matter and, according to this condition, investigate whether or not the MSW effect happens in the cases of solar and ...
, Anada, , Nishimura
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Hippocampal Theta Oscillations and Classical Conditioning

Neurobiology of Learning and Memory, 2001
Studies are reviewed that support a hypothesized role for hippocampal theta oscillations in the neural plasticity underlying behavioral learning. Begun in Richard F. Thompson's laboratory in the 1970s, these experiments have documented a relationship between free-running 3- to 7-Hz hippocampal slow waves (theta) and rates of acquisition in rabbit ...
S D, Berry, M A, Seager
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Start-oscillation conditions of tapered backward-wave oscillators

IEEE Transactions on Electron Devices, 1963
Coupled-mode theory is employed to describe the interaction between nonuniform electron beams and circuits. It is then applied to determine the start-oscillation conditions of a tapered backward-wave oscillator. It is shown that under high space-charge operating conditions where the coupling to the fast space-charge wave is negligible and for weak ...
G.I. Haddad, R.M. Bevensee
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Analysis of oscillator synchronization conditions

Russian Microelectronics, 2011
The problem of determining the synchronization conditions of an arbitrary oscillator by a small periodic arbitrary waveform signal is considered. It is shown that the problem solution can be found from the existence conditions of small-signal linear system solution.
M. M. Gourary, S. L. Ulyanov
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Sharp conditions for oscillation

Acta Mathematicae Applicatae Sinica, 1993
The paper deals with the equation (1) \(x'(t)+ \sum_{i=1}^ n p_ i(t) x(t-\tau_ i(t))=0\), where \(0\leq p_ i(t)\leq p\), \(0\leq \tau_ i(t)\leq T\) for \(i=1,2,\dots,n\); \(p\) and \(T\) are constants and \(p_ i(t)\), \(\tau_ i(t)\) are continuous functions on \([0,\infty)\).
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