نتایج جستجو برای: emden fowler equation
تعداد نتایج: 231667 فیلتر نتایج به سال:
In this article, we obtain oscillation conditions for second-order differential equation with neutral term. Our results extend, improve, and simplify some known delay equations. Several effective illustrative implementations are provided.
All generators of the optimal algebra associated with a generalization Endem-Fowler equation are showed; some them allow to give invariant solutions. Variational symmetries and respective conservation laws also showed. Finally, representation Lie symmetry is showed by groups matrices.
We consider the following anisotropic Emden-Fowler equation ∇(a(x)∇u) + εa(x)e = 0 in Ω, u = 0 on ∂Ω, where Ω ⊂ R is a smooth bounded domain and a is a positive smooth function. We study here the phenomenon of boundary bubbling solutions which do not exist for the isotropic case a ≡ constant. We determine the localization and asymptotic behavior of the boundary bubbles, and construct some bound...
In this paper, we will establish some new oscillation criteria for the second-order superlinear neutral delay dynamic equation of Emden-Fowler type [ a(t)(y(t) + r(t)y(τ(t))) ]∆ + p(t) |y(δ(t))| signy(δ(t)) = 0, on a time scale T; here γ > 1, a(t), r(t), τ(t), p(t) and δ(t)real-valued positive functions defined on T. Our results in the special case when T = R, improve the oscillation results fo...
/2 ( ) ( ) u u where is the Fourier transformation and its inverse. The question is to determine for which values of the exponents pi and qi the only nonnegative solution (u, v) of (1) and (2) is trivial, i.e., (u; v) = (0, 0). When 2 , is the case of the Emden-Fowler equation 0 , 0 u u u k in N (5) When ) 3 )( 2 /( ) 2 ( 1 N N N k , it has been prove...
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