About solvability of initial problem for differential equation with maximum
Journal Title: Дослідження в математиці і механіці - Year 2015, Vol 20, Issue 1
Abstract
Initial value problem for differential equation with maximum is considered. Sufficient conditions of existence and uniqueness solution for this problem are presented.
Authors and Affiliations
A. N. Vityuk, O. D. Kichmarenko, K. Yu. Sapozhnikova
Keywords
Related Articles
- EP ID EP417159
- DOI -
- Views 106
- Downloads 0
The analysis of p-term algorithms for unconstrained optimization
Consider the multidimensional unconstrained minimization problem in a case of continuously differentiable function. An iterative algorithm for solving such a problem is called a multi-term if in order to find the next ap...
On a one class of the solutions of the nonlinear first-order differential equation with oscillating coefficients
For the nonlinear first-order differential equation, whose coefficients are represented as an absolutely and uniformly convergent Fourier-series with slowly varying coefficients and frequency, the condidtions of existenc...
Exponential sums over 𝐺𝑛𝑝 𝑚[𝑥, 𝑦, 𝑧]
There is considered the application of C. Hooley method to construct the estimates of exponential sums on algebraic variety over the finite field. We obtained a nontrivial estimate with the rational function on three va...
Estimates of the norms of Riesz derivatives of multivariate functions
Let Δ = 𝜕2 𝜕𝑥1 + ... + 𝜕2 𝜕𝑥𝑚 be the Laplace operator. We denote by 𝐿𝑠(R𝑚) (1 6 𝑠 6 ∞) the spaces of measurable functions 𝑓 : R𝑚 → R with a finite norm ‖𝑓‖𝑠. Let 𝐹 and 𝐸 be ideal lattices on R𝑚 with finite norms ‖ ・ ‖𝐹...
CHARACTER SUMS ANALOGUE OF KLOOSTERMAN SUMS ON NORM GROUP
We consider character sums, analogue of Kloosterman sums over norm group in the ring of Guassian integers. We obtain non-trivial estimation of exponential sums and character sums modulo pm, where p — prime number, p ≡ 3...