Monotonicity theorems for second order non-linear differential equations

Miroslav Bartušek

Archivum Mathematicum (1980)

  • Volume: 016, Issue: 3, page 127-135
  • ISSN: 0044-8753

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Bartušek, Miroslav. "Monotonicity theorems for second order non-linear differential equations." Archivum Mathematicum 016.3 (1980): 127-135. <http://eudml.org/doc/18027>.

@article{Bartušek1980,
author = {Bartušek, Miroslav},
journal = {Archivum Mathematicum},
keywords = {monotonicity theorems; second order nonlinear differential equations},
language = {eng},
number = {3},
pages = {127-135},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Monotonicity theorems for second order non-linear differential equations},
url = {http://eudml.org/doc/18027},
volume = {016},
year = {1980},
}

TY - JOUR
AU - Bartušek, Miroslav
TI - Monotonicity theorems for second order non-linear differential equations
JO - Archivum Mathematicum
PY - 1980
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 016
IS - 3
SP - 127
EP - 135
LA - eng
KW - monotonicity theorems; second order nonlinear differential equations
UR - http://eudml.org/doc/18027
ER -

References

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  1. M. Бapтyшек, O нyляx кoлеблющиxcя pешений ypaвнения ( p ( x ) x ' ) ' + f ( t , x , x ' ) = 0 , Дифф. ypaв., XII, Но. 24, 621-625. 
  2. M. Bartušеk, On Zeros of Solutions of the Differential Equation ( p ( t ) y ' ) ' + f ( t , y , y ' ) = 0 , Arch. Math., XI, No. 4, 187-192. MR0409975
  3. M. Bartušek, Monotonicity Theorems concerning Differential Equations y " + f ( t , y , y ' ) = 0 , Arch. Math., XII, No. 4, 1976, 169-178. (1976) MR0430410
  4. M. Bartušek, On Zeros of Solutions of the Differential Equation y " + f ( t , y ) g ( y ' ) = 0 , Aгch. Math., XV, 3, 129-132. MR0562336
  5. I. Bihaгi, Oscillation and Monotonity Theorems Concerning Non-linear Differential Equations of the Second Order, Acta Math. Acad. Sci. Нung., IX, No. 1-2, 1958, 83-104. (1958) MR0095321
  6. K. M. Daѕ, Comparison and Monotonity Theorems for Second Order Non-linear Differential Equations, Acta Math. Sci. Hung., XV, No. 3-4, 1964, 449-456. (1964) MR0176155
  7. A. Г. Kaтpaмoв, Oб acuмnmomuчecкoм noвeдeнuu кoлeблющuxcя peшeнuй ypaвлeнuя x ¨ + f ( t , x ) g ( x ˙ ) = 0 , Дифф. ypaблeния, VIH, Но. 6, 1972, 1111-1115. (1972) 

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