Infinite-modal approximate solutions of the Bryan-Pidduck equation
Journal Title: Математичні Студії - Year 2018, Vol 49, Issue 1
Abstract
Abstract The nonlinear integro-differential Bryan-Pidduck equation for a model of rough spheres is considered. An approximate solution is constructed in the form of an infinite linear combination of some Maxwellian modes with coefficient functions that depend on time and spatial coordinate. Sufficient conditions for the infinitesimality of the uniformly-integral error between the parts of the Bryan-Pidduck equation are obtained.
Authors and Affiliations
O. O. Hukalov, V. D. Gordevskyy
On interpolation problem with derivative in the space of entire functions with fast-growing interpolation knots
In the paper are obtained the conditions on a sequence (bk,1;bk,2), k∈N, such that the interpolation problem g(λk)=bk,1, g′(λk)=bk,2 has a unique solution in a subspace of entire functions g that satisfy the condition ln...
Nonlocal multipoint problem for an ordinary differential equations of even order involution
We study a nonlocal multipoint problem for an ordinary differential equation of even order with coefficients containing an involution operator. The spectral properties of a self-adjoint operator with boundary conditions...
Fractal dimensions for inclusion hyperspaces and non-additive measures
Analogues of Hausdorff dimension, upper and lower box dimensions for the inclusion hyperspaces and non-additive regular measures (capacities) on metric compacta are introduced. Their relations to the respective dimension...
On bonding of some bitopological notions
In this paper, we study two strong forms of separations axioms on bitopological spaces and we observe that the results on such axioms are odd compared to prevailing results of bitopological spaces or topological spaces,...
On mathematical realism and applicability of hyperreals
We argue that Robinson’s hyperreals have just as much claim to applicability as the garden variety reals. In a recent text, Easwaran and Towsner (ET) analyze the applicability of mathematical techniques in the sciences,...