Results 21 to 30 of about 94 (93)
Oscillation and non‐oscillation of some neutral differential equations of odd order
International 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
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Open Mathematics, 2017 In this paper, we compute explicitly the oscillation constant for certain half-linear second-order differential equations having different periodic coefficients. Our result covers known result concerning half-linear Euler type differential equations with
Misir Adil, Mermerkaya Banu
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Oscillation criteria in neutral equations of n order with variable coefficients
International 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
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The fourth order strongly noncanonical operators
Open Mathematics, 2018 It is shown that the strongly noncanonical fourth order ...
Baculikova Blanka, Dzurina Jozef
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Existence of positive solutions for neutral differential equations
International 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
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Oscillation theorems for second order nonlinear differential equations with deviating arguments
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 1, Page 35-45, 1987., 1986 New oscillation criteria for the oscillatory behaviour of the differential and are ...
S. R. Grace, B. S. Lalli
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Comparison theorems for fourth order differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 1, Page 105-109, 1986., 1985 This paper establishes an apparently overlooked relationship between the pair of fourth order linear equations yiv − p(x)y = 0 and yiv + p(x)y = 0, where p is a positive, continuous function defined on [0, ∞). It is shown that if all solutions of the first equation are nonoscillatory, then all solutions of the second equation must be nonoscillatory as ...
Garret J. Etgen, Willie E. Taylor Jr.
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Some properties of solutions to a planar system of nonlinear differential equations
, 2018 In this paper we present for the solutions of a planar system of differential equations, extremal principle, Nicolescu-type and Butlewski-type separation theorems. Some applications and examples are given. Mathematics Subject Classification (2010): 34A12,
ILEA, Veronica
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Global Sturm inequalities for the real zeros of the solutions of the Gauss hypergeometric differential equation [PDF]
, 2007 19 pages, 2 figures.-- MSC2000 codes: 33C45; 34C10; 26D20.MR#: MR2356577 (2010c:33008)Zbl#: Zbl 1145.33002Liouville-Green transformations of the Gauss hypergeometric equation with changes of variable $$z(x)=\int\sp xt\sp {p-1}(1-t)\sp {q-1}dt$$ are ...
Deaño Cabrera, Alfredo +2 more
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Oscillation criteria for certain nonlinear fourth order equations
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 551-557, 1983., 1983 This work investigates the behavior of solutions of certain nonlinear fourth order differential equations. An example is given showing that these equations can have both oscillatory and nonoscillatory solutions simultaneously. Finally, several criteria for the existence of oscillator solutions are established.
W. E. Taylor Jr.
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