Differential Equations
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Sắp xếp:
Regularity of solutions of boundary value problems for parabolic equations of arbitrary order in weighted Hölder spaces
Differential Equations - - 2014
The unique solvability of a two-point inverse problem for an abstract differential equation with an unknown parameter
Differential Equations - Tập 36 - Trang 1256-1258 - 2000
Solution with an internal transition layer for a singularly perturbed second-order equation with an advancing and a retarded argument
Differential Equations - Tập 50 Số 6 - Trang 751-764 - 2014
Matrix Linearization of Functional-Differential Equations of Point Type and Existence and Uniqueness of Periodic Solutions
Differential Equations - Tập 54 - Trang 1271-1284 - 2018
We study ω-periodic solutions of a functional-differential equation of point type that is ω-periodic in the independent variable. In terms of the right-hand side of the equation, we state easy-to-verify sufficient conditions for the existence and uniqueness of an ω-periodic solution and describe an iteration process for constructing the solution. In contrast to the previously considered scalar lin......
Numerical Solution of the Cauchy Problem for a Second-Order Integro-Differential Equation
Differential Equations - Tập 58 - Trang 899-907 - 2022
In a finite-dimensional Hilbert space, we consider the Cauchy problem for a second-order
integro-differential evolution equation with memory where the integrand is the product of a
difference kernel by a linear operator of the time derivative of the solution. The main difficulties in
finding the approximate value of the solution of such nonlocal problems at a given point in time
are due to the ne......
On Normalizing Spaces for a Singular Integral Operator with Degenerating Symbol
Differential Equations - Tập 41 - Trang 1275-1284
Feedback Elimination of Impulse Terms from the Solutions of Differential-Algebraic Equations
Differential Equations - Tập 57 - Trang 41-59 - 2021
We consider a controlled linear system of differential-algebraic equations with infinitely
differentiable coefficients that is allowed to have an arbitrarily high unsolvability index. It is
assumed that the matrix multiplying the derivative of the desired vector function has a constant
rank. We prove a theorem on the existence of a solution in the class of Sobolev–Schwartz type
generalized functi......
Asymptotic representations of solutions of two-term nonautonomous nth-order ordinary differential equations with exponential nonlinearity
Differential Equations - Tập 44 - Trang 319-333 - 2008
We obtain necessary and sufficient conditions for the existence of a certain class of solutions of the differential equation
$$
(|y^{(n - 1)} |^{\lambda - 1} y^{(n - 1)} )' = \alpha _0 p(t)e^{\sigma y}
$$
, where α
0 ∈ {−1, 1}, σ, λ ∈ R \ {0}, and p: [a, ω[→]0,+∞[(−∞ < a < ω ≤ + ......
Approximation of differential eigenvalue problems with a nonlinear dependence on the parameter
Differential Equations - - 2014
A second-order linear system with a special monodromy group on CPm
Differential Equations - Tập 42 - Trang 473-478 - 2006
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