Results 281 to 290 of about 822,876 (350)

Problem with Integral Conditions for Differential-Operator Equation

Journal of Mathematical Sciences, 2015
The authors propose a method of solving the problem with inhomogeneous integral conditions for a homogeneous differential-operator equation with abstract operator in a linear space \(H\). For the right-hand sides of the integral conditions belonging to a special subspace \(L\subseteq H\), where the vectors are represented in the form of Stieltjes ...
P. Kalenyuk, G. Kuduk, I. Kohút, Z. Nytrebych   +3 more
semanticscholar   +3 more sources

Non validity of index law in fractional calculus: A fractional differential operator with Markovian and non-Markovian properties

Physica A: Statistical Mechanics and its Applications, 2018
We presented an analysis of evolutions equations generated by three fractional derivatives namely the Riemann–Liouville, Caputo–Fabrizio and the Atangana–Baleanu fractional derivatives.
A. Atangana
semanticscholar   +1 more source

A higher order nonlocal operator method for solving partial differential equations

, 2020
A higher order nonlocal operator method for the solution of boundary value problems is developed. The proposed higher order nonlocal operator brings several advantages as compared to the original nonlocal operator method (Ren et al., 2020) which only ...
H. Ren, X. Zhuang, T. Rabczuk
semanticscholar   +1 more source

ON DIFFERENTIAL-OPERATOR EQUATIONS OF SECOND ORDER

Mathematics of the USSR-Izvestiya, 1975
The article offers proof of general comparison theorems by which bounded and stable solutions can be isolated for second-order equations; bounded solutions are also isolated for some second-order systems.Bibliography: 4 titles.
openaire   +2 more sources

Differential-Operator Equations and Inclusions

2004
This chapter states some properties of nonlinear differential-operator equations solutions, of differential-operator inclusions and evolutional variational inequalities.
M. Z. Zgurovsky, V. S. Mel’nik
openaire   +1 more source

Nonlinear equations with differentiable operators

1994
Let \( \mathfrak{D} \) be a topological space. Assume that F is an operator defined from \( \mathfrak{D} \) into \( \mathfrak{D} \), i.e., $$ F\left( \mathfrak{D} \right) \subseteq \mathfrak{D} $$ (1)
Victor Khatskevich, David Shoiykhet
openaire   +1 more source

ON SOME DIFFERENTIAL-OPERATOR EQUATIONS OF ARBITRARY ORDER

Mathematics of the USSR-Sbornik, 1973
On the half-line we investigate the following equation in a Banach space: (1)where are closed operators which commute with . We consider the following classes of equations: parabolic, inverse parabolic, hyperbolic, quasi-elliptic, and quasi-hyperbolic. We present boundary value problems for these classes and prove that they are well-posed. The proofs
openaire   +1 more source

An analysis for heat equations arises in diffusion process using new Yang‐Abdel‐Aty‐Cattani fractional operator

Mathematical methods in the applied sciences, 2020
The heat equation is parabolic partial differential equation and occurs in the characterization of diffusion progress. In the present work, a new fractional operator based on the Rabotnov fractional‐exponential kernel is considered.
Sunil Kumar, Surath Ghosh, B. Samet, E. F. D. Goufo   +3 more
semanticscholar   +1 more source

Matrix-Differential-Operator Approach to the Maxwell Equations and the Dirac Equation

Acta Applicandae Mathematicae, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

On generalized logistic equations with a non-homogeneous differential operator

Dynamical Systems, 2013
We consider a generalized logistic equation of superdiffusive type, driven by a non-homogeneous nonlinear differential operator, which incorporates the p-Laplacian, the (p, q)-differential operator and the generalized p-mean curvature differential operator.
Gasiński, Leszek, Papageorgiou, Nikolaos S.   +1 more
openaire   +2 more sources