Results 71 to 80 of about 4,182 (106)

The Karamata integration theorem on time scales and its applications in dynamic and difference equations

Applied Mathematics and Computation, 2018
We derive a time scale version of the well-known result from the theory of regular variation, namely the Karamata integration theorem. We show an application of this theorem in asymptotic analysis of linear second order dynamic equations.
Pavel Rehak
exaly   +2 more sources

Existence and asymptotic behavior of strictly convex solutions for singular k-Hessian equations with nonlinear gradient terms

Georgian Mathematical Journal, 2023
In this paper, we mainly consider the singular k-Hessian equations S k ⁢ ( λ ⁢ ( D 2 ⁢ u ) ) = h ⁢ ( x ) ⁢ f ⁢ ( - u ) + g ⁢ ( | D ⁢ u | )   in ⁢ Ω S_{k}(\lambda(D^{2}u))=h(x)f(-u)+g(|Du|)\quad\text{in }\Omega and S k ⁢ ( λ ⁢ ( D 2 ⁢ u ) ) = h ⁢ ( x ...
Xingyue He   +3 more
semanticscholar   +1 more source

Nonlinear polyharmonic boundary value problems in the punctured unit ball

Complex Variables and Elliptic Equations, 2023
In this paper we investigate the existence and the asymptotic behavior of positive continuous solutions for a class of nonlinear polyharmonic boundary value problems in the punctured unit ball of $ \mathbb {R}^{n} (n \geqslant 3) $ Rn(n⩾3). Our arguments
Zeineb Ben Yahia, Z. Zine El Abidine
semanticscholar   +1 more source

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