Results 21 to 30 of about 73 (73)

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
wiley   +1 more source

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
wiley   +1 more source

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.
wiley   +1 more source

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.
wiley   +1 more source

Qualitative properties of solutions of certain fourth order linear differential equations

International Journal of Mathematics and Mathematical Sciences, Volume 4, Issue 4, Page 763-774, 1981., 1981
This work considers differential equations of the form where p, q and r are positive continuous functions defined on [0, ∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions. Such an investigation is important because the above equation often arises in the study of mechanical vibrations.
W. E. Taylor Jr.
wiley   +1 more source

Sturmian theorems for systems of differential equations

International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 1, Page 177-184, 1980., 1979
Two Sturmian theorems are established for second order linear nonhomogeneous systems of two differential equations with the use of a maximum principle. The results also hold for homogeneous systems. For illustration, an example is given.
C. Y. Chan
wiley   +1 more source

Wronskians and subspaces of certain fourth order differential equations

International Journal of Mathematics and Mathematical Sciences, Volume 3, Issue 2, Page 275-292, 1980., 1980
The objectives of the paper are to study the behavior of Wronskians of solutions of the fourth order differential equations and to relate this behavior with the oscillations of these equations, as well as to the structure of the subspaces of the solution spaces of the equations.
G. J. Etgen, Willie E. Taylor Jr.
wiley   +1 more source

Behavior of second order nonlinear differantial equations

International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 1, Page 1-12, 1978., 1978
Qualitative behavior of second order nonlinear differential equations with variable coefficients is studied. It includes properties such as positivity, number of zeroes, oscillatory behavior, boundedness and monotonicity of the solutions.
Rina Ling
wiley   +1 more source

The fourth order strongly noncanonical operators

Open Mathematics, 2018
It is shown that the strongly noncanonical fourth order ...
Baculikova Blanka, Dzurina Jozef
doaj   +1 more source

Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm

Open Mathematics
We study linear differential equations whose coefficients consist of products of powers of natural logarithm and general continuous functions. We derive conditions that guarantee the non-oscillation of all non-trivial solutions of the treated type of ...
Šišoláková Jiřina
doaj   +1 more source