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AV Borovskikh (2003)
Sign Regularity Conditions for Discontinuous Boundary Value ProblemsMat. Zametki, 74
AV Borovskikh, KP Lazarev, YuV Pokornyi (1994)
Oscillatory Spectral Properties of Discontinuous Boundary Value ProblemsDokl. Akad. Nauk, 335
A. Borovskikh, Y. Pokornyi (1994)
Chebyshev-Haar systems in the theory of discontinuous Kellogg kernelsRussian Mathematical Surveys, 49
FR Gantmakher, MG Krein (1950)
Ostsillyatsionnye matritsy i yadra i malye kolebaniya mekhanicheskikh sistem
G. Pólya (1922)
On the mean-value theorem corresponding to a given linear homogeneous differential equationTransactions of the American Mathematical Society, 24
MA Naimark (1969)
Lineinye differentsial’nye uravneniya
YuV Pokornyi, KP Lazarev (1987)
Some Oscillation Theorems for Multipoint ProblemsDiffer. Uravn., 23
(1987)
Some Oscillation Theorems for Multipoint Problems, Differ
F. Gantmacher, M. Krein (1961)
Oscillation matrices and kernels and small vibrations of mechanical systems
YuV Pokornyi, ZhI Bakhtina, MB Zvereva, SA Shabrov (2009)
Ostsillyatsionnyi metod Shturma v spektral’nykh zadachakh
A. Borovskikh (2003)
Sign Regularity Conditions for Discontinuous Boundary-Value ProblemsMathematical Notes, 74
(1997)
Effective Criteria for the Sign-Regularity and Oscillation of Green Functions for TwoPoint Boundary Value Problems
AV Borovskikh, YuV Pokornyi (1994)
Chebyshev-Haar Systems in the Theory of Discontinuous Kellog KernelsUspekhi Mat. Nauk, 49
(2009)
Ostsillyatsionnyi metod Shturma v spektral’nykh zadachakh (Sturm Oscillation Method in Spectral Problems)
YuV Pokornyi, OM Penkin, VL Pryadiev (2004)
Differentsial’nye uravneniya na geometricheskikh grafakh
(2008)
On the Zeros of the Green Function for the de la Vallée-Poussin Problem
(1976)
One-Dimensional Boundary Value Problems with Operators That Do Not Lower the Number of Sign Changes
(1981)
On Sign-Regular Green Functions of Some Nonclassical Problems
(1969)
Lineinye differentsial’nye uravneniya (Linear Differential Equations)
We study the sign properties of the Green function of a discontinuous boundary value problem for a fourth-order equation describing small deformations of a chain of rigidly connected rods with elastic supports at the connection points and with elastic clamping at the endpoints. We obtain necessary and sufficient conditions under which the Green function is positive inside its domain.
Differential Equations – Springer Journals
Published: Mar 22, 2015
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