On the Convergence of Solutions of Certain Third-Order Differential Equations
نویسندگان
چکیده
منابع مشابه
On the Convergence of Solutions of Certain Third-Order Differential Equations
As well known, in the investigation of qualitative behaviors of solutions, stability, convergence, boundedness, oscillation, and so forth of solutions are very important problems in theory and applications of differential equations. For example, in applied sciences, some practical problems concerning mechanics, the engineering technique fields, economy, control theory, physics, chemistry, biolo...
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where ψ ∈ C(R×R×R,R), f ∈ C(R×R,R), and p ∈ C([0,∞)×R×R×R,R). It is also supposed that the functions ψ, f , and p depend only on the arguments displayed explicitly, and the dots denote differentiation with respect to t. However, we shall require that f (0,0) = 0, the derivatives ∂ψ(x, ẋ, ẍ)/∂x ≡ ψx(x, ẋ, ẍ), ∂ψ(x, ẋ, ẍ)/∂ẍ ≡ ψẍ(x, ẋ, ẍ), and ∂ f (x, ẋ)/∂x ≡ fx(x, ẋ) exist and are continuous, an...
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ژورنال
عنوان ژورنال: Discrete Dynamics in Nature and Society
سال: 2009
ISSN: 1026-0226,1607-887X
DOI: 10.1155/2009/863178