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Principal and nonprincipal solutions of impulsive differential equations with applications

Applied Mathematics and Computation, 2010
The authors consider the scalar impulsive equation \[ (r(t)z')'+ q(t)z= 0,\quad r(t)> 0,\tag{1} \] \[ \Delta r(t)z'+ q_iz= 0,\quad t=\theta_i,\quad t\geq t_0.\tag{2} \] The solutions \(u(t)\) and \(v(t)\) of (1), (2) are called principal and nonprincipal if \[ \lim_{t\to\infty} {u(t)\over v(t)}= 0,\;\int^\infty_0{dt\over ru^2}= \infty,\quad \int ...
Abdullah Özbekler, Agacik Zafer
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Asymptotics of Bounded-at-Infinity Solutions of the Principal Resonance Equation

Mathematical Notes, 2005
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Kalyakin, L. A., Bagderina, Yu. Yu.
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On the Solutions of Two-Extended Principal Conformal Toda Theory

Annals of Physics, 1994
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Chao, Liu, Hou, Boyu
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The principal variables of cryopreservation: solutions, temperatures, and rate changes

Fertility and Sterility, 2011
To describe several fundamental variables that influence ultimate survival of oocytes and embryos when they are cryopreserved.The literature describing fundamental and applied aspects of cryobiological variables that determine the responses of oocytes and embryos has been reviewed.When oocytes and embryos are to be cryopreserved, they are suspended in ...
S P, Leibo, Thomas B, Pool
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Principal axes and principal moments of inertia from recent satellite gravity field solutions

2002
The Earth’s principal axes and principal moments of inertia were determined from the 2nd degree harmonic coefficients of recent Earth gravity field models and several values of the dynamical ellipticity. Closed exact formulae for the estimation of these parameters are developed based upon the exact analytical solution of eigenvalue-eigenvector problem ...
Marchenko, A., Schwintzer, P.
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The Principal/Agent Problem—Numerical Solutions

1988
The principal/agent paradigm provides a useful vehicle for examining a wide range of contractual relationships. Recent theoretical advances in the modeling of this relationship have enriched our understanding of the interplay between risk sharing and incentives in the design of optimal contracts.
Phelim P. Boyle, John E. Butterworth
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Error bounds for suboptimal solutions to kernel principal component analysis

Optimization Letters, 2009
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Giorgio Gnecco, Marcello Sanguineti
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Existence Theorems and Estimates of Solutions for Equations of Principal Resonance

Journal of Mathematical Sciences, 2014
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On the principal and strictly particular solutions to infinite systems

Computational Mathematics and Mathematical Physics, 2016
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Ivanova, O. F.   +2 more
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Solutions to Principal-Agent Problems in Firms

2005
There are many settings in which one economic actor (the principal) delegates authority to an agent to act on her behalf .T h ep r imary reason for doing so is that the agent has an advantage in terms of expertise or information. This informational advantage, or information asymmetry, poses a problem for the principal—how can th ep rincipa lb e sure ...
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