On nonoscillation of canonical or noncanonical disconjugate functional equations

Bhagat Singh

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 3, page 627-639
  • ISSN: 0011-4642

Abstract

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Qualitative comparison of the nonoscillatory behavior of the equations L n y ( t ) + H ( t , y ( t ) ) = 0 and L n y ( t ) + H ( t , y ( g ( t ) ) ) = 0 is sought by way of finding different nonoscillation criteria for the above equations. L n is a disconjugate operator of the form L n = 1 p n ( t ) d d t 1 p n - 1 ( t ) d d t ... d d t · p 0 ( t ) . Both canonical and noncanonical forms of L n have been studied.

How to cite

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Singh, Bhagat. "On nonoscillation of canonical or noncanonical disconjugate functional equations." Czechoslovak Mathematical Journal 50.3 (2000): 627-639. <http://eudml.org/doc/30589>.

@article{Singh2000,
abstract = {Qualitative comparison of the nonoscillatory behavior of the equations \[ L\_ny(t) + H(t,y(t)) = 0 \] and \[ L\_ny(t) + H(t,y(g(t))) = 0 \] is sought by way of finding different nonoscillation criteria for the above equations. $L_n$ is a disconjugate operator of the form \[ L\_n = \frac\{1\}\{p\_n(t)\} \frac\{\mathrm \{d\}\{\}\}\{\mathrm \{d\}t\} \frac\{1\}\{p\_\{n-1\}(t)\} \frac\{\mathrm \{d\}\{\}\}\{\mathrm \{d\}t\} \ldots \frac\{\mathrm \{d\}\{\}\}\{\mathrm \{d\}t\} \frac\{\cdot \}\{p\_0(t)\}. \] Both canonical and noncanonical forms of $L_n$ have been studied.},
author = {Singh, Bhagat},
journal = {Czechoslovak Mathematical Journal},
keywords = {canonical; noncanonical; oscillatory; nonoscillatory; principal system; canonical; noncanonical; oscillatory; nonoscillatory; principal system},
language = {eng},
number = {3},
pages = {627-639},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On nonoscillation of canonical or noncanonical disconjugate functional equations},
url = {http://eudml.org/doc/30589},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Singh, Bhagat
TI - On nonoscillation of canonical or noncanonical disconjugate functional equations
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 3
SP - 627
EP - 639
AB - Qualitative comparison of the nonoscillatory behavior of the equations \[ L_ny(t) + H(t,y(t)) = 0 \] and \[ L_ny(t) + H(t,y(g(t))) = 0 \] is sought by way of finding different nonoscillation criteria for the above equations. $L_n$ is a disconjugate operator of the form \[ L_n = \frac{1}{p_n(t)} \frac{\mathrm {d}{}}{\mathrm {d}t} \frac{1}{p_{n-1}(t)} \frac{\mathrm {d}{}}{\mathrm {d}t} \ldots \frac{\mathrm {d}{}}{\mathrm {d}t} \frac{\cdot }{p_0(t)}. \] Both canonical and noncanonical forms of $L_n$ have been studied.
LA - eng
KW - canonical; noncanonical; oscillatory; nonoscillatory; principal system; canonical; noncanonical; oscillatory; nonoscillatory; principal system
UR - http://eudml.org/doc/30589
ER -

References

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