Results 21 to 30 of about 109 (105)

Plato’s recollection argument in the "Philebus" [PDF]

open access: yes, 2018
Many scholars have denied that Plato’s argument about desire at Philebus 34c10–35d7 is related to his recollection arguments in the Meno and Phaedo, because it is concerned only with postnatal experiences of pleasure.
Iwata, Naoya
core   +1 more source

A representation theorem for the linear quasi‐differential equation (py′)′+qy=0

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 8, Page 579-584, 2000., 2000
We establish a representation for q in the second‐order linear quasi‐differential equation (py′)′+qy=0. We give a number of applications, including a simple proof of Sturm′s comparison theorem.
J. G. O′Hara
wiley   +1 more source

On an isolation and a generalization of Hölder′s inequality

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 1, Page 59-61, 2000., 2000
We generalize the well‐known Hölder inequality and give a condition at which the equality holds.
Xiaojing Yang
wiley   +1 more source

A sturm separation theorem for a linear 2n th order self‐adjoint differential equation

open access: yesInternational Journal of Stochastic Analysis, Volume 8, Issue 1, Page 29-46, 1995., 1994
For the 2nth order equation, (−1) nv(2n) + qv = 0, with q continuous, we obtain a Sturm Separation theorem, involving n + 1 solutions of the equation, which is somewhat analogous to the classical result that the zeros of two linearly independent solutions of the second order equation separate each other.
Charles T. Fulton   +2 more
wiley   +1 more source

Interval Criteria for Forced Oscillation of Functional Differential Equations with γ-Laplacian, Damping and Mixed Nonlinearities [PDF]

open access: yes, 2014
2010 Mathematics Subject Classification: 34C10 ...
Elabbasy, E. M.   +3 more
core   +1 more source

Existence of asymptotic solutions of second order neutral differential equation with multiple delays

open access: yesInternational Journal of Stochastic Analysis, Volume 8, Issue 1, Page 77-83, 1995., 1994
The existence of positive solutions of second order neutral differential equation of the form is investigated. Some sufficient conditions are given for the existence of positive solutions with asymptotic decay of (A). Examples are presented to illustrate the results.
S. C. Palaniswami
wiley   +1 more source

Positive solutions of integrodifferential equations

open access: yesInternational Journal of Stochastic Analysis, Volume 6, Issue 1, Page 55-68, 1993., 1992
Integrodifferential equations of the forms are considered, where K ∈ C([0, ∞), [0, ∞)), p ∈ C([0, ∞), [0, ∞)) and q ∈ C((−∞, ∞), [0, ∞)). Necessary conditions and also sufficient conditions for the existence of positive solutions are established.
Ch. G. Philos
wiley   +1 more source

Oscillation and non‐oscillation of some neutral differential equations of odd order

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 3, Page 509-515, 1992., 1991
An existence criterion for nonoscillatory solution for an odd order neutral differential equation is provided. Some sufficient conditions are also given for the oscillation of solutions of some nth order equations with nonlinearity in the neutral term.
B. S. Lalli, B. G. Zhang
wiley   +1 more source

Oscillation criteria in neutral equations of n order with variable coefficients

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 4, Page 689-696, 1991., 1991
Consider the n‐order neutral delay differential equation where P,Q ∈ C[[t0, ∞), ℝ] and the delays τ and σ are nonnegative real numbers. In this paper we examined the oscillatory behavior of the solutions of the above equation using techniques which allow the relaxation of the restrictions which has been introduced previously.
D. A. Georgiou, C. Qian
wiley   +1 more source

Existence of positive solutions for neutral differential equations

open access: yesInternational Journal of Stochastic Analysis, Volume 2, Issue 4, Page 267-275, 1989., 1989
We establish sufficient conditions for the existence of positive solutions of the neutral delay differential equation .
Q. Chuanxi, G. Ladas
wiley   +1 more source

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