Results 301 to 310 of about 542,997 (336)

Mild solution of stochastic partial differential equation with nonlocal conditions and noncompact semigroups

Mathematica Slovaca, 2019
The aim of this paper is to discuss the existence of mild solutions for a class of semilinear stochastic partial differential equation with nonlocal initial conditions and noncompact semigroups in a real separable Hilbert space.
Xuping Zhang, Pengyu Chen, Ahmed Abdelmonem, Yongxiang Li   +3 more
semanticscholar   +1 more source

Integration of Ordinary Differential Equations via Nonlocal Symmetries

Nonlinear Dynamics, 2002
It is a classical result that \(n\)th-order ordinary differential equations with a solvable Lie algebra of point symmetries \(\mathfrak{g}\) (also called fundamental algebra of the equation) can be integrated by quadratures. The structure of the algebra \(\mathfrak{g}\) can also be used to obtain other simplifications or reductions of an equation ...
Adam, A. A., Mahomed, F. M.
openaire   +2 more sources

Controllability analysis for impulsive integro‐differential equation via Atangana–Baleanu fractional derivative

Mathematical methods in the applied sciences, 2021
In this work, we analyze the controllability for a certain classes of impulsive integro‐differential equations (IIDEs) of fractional order via Atangana Baleanu derivative involving finite delay with initial and nonlocal conditions using Banach fixed ...
K. Kaliraj, E. Thilakraj, C. Ravichandran, Kottakkaran Sooppy Nisar   +3 more
semanticscholar   +1 more source

Integral and differential approaches to Eringen's nonlocal elasticity models accounting for boundary effects with applications to beams in bending

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2021
The Eringen's fully nonlocal elasticity model is known to lead to ill‐posed boundary‐value problems and to suffer some boundary effects arising from particle interactions impeded by the body's boundary surface.
A. Pisano, P. Fuschi, C. Polizzotto
semanticscholar   +1 more source

Optimal control problems for some nonlocal differential equations

Nonlinear Analysis: Theory, Methods & Applications, 2001
The direct methods of calculus were used to analyze the optimal control problems for some nonlocal differential equations. The problems involved functional-differential equations with argument deviation. The relaxation of a variational problem involving a local functional was reduced to some well-known convexification of the integrand.
Drakhlin M., Litsyn E., Stepanov E.
openaire   +4 more sources

Multidimensional partial differential equation systems: Nonlocal symmetries, nonlocal conservation laws, exact solutions

Journal of Mathematical Physics, 2010
For systems of partial differential equations (PDEs) with n≥3 independent variables, construction of nonlocally related PDE systems is substantially more complicated than is the situation for PDE systems with two independent variables. In particular, in the multidimensional situation, nonlocally related PDE systems can arise as nonlocally related ...
Cheviakov, Alexei F., Bluman, George W.
openaire   +2 more sources

HYERS-ULAM STABILITY FOR NONLOCAL DIFFERENTIAL EQUATIONS

Journal of Science Natural Science, 2020
In this paper, we present a result on Hyers-Ulam stability for a class of nonlocal differential equations in Hilbert spaces by using the theory of integral equations with completely positive kernels together with a new Gronwall inequality type. The paper develops some recent results on fractional differential equations to the ones involving general ...
Dac Nguyen Van, Toan Pham Anh
openaire   +1 more source

On Differential Equations with Nonlocal Switch Functionals

Journal of Mathematical Sciences, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Stochastic Differential Equations with Nonlocal Sample Dependence

Stochastic Analysis and Applications, 2010
Stochastic ordinary differential equations are investigated for which the coefficients depend on nonlocal properties of the current random variable in the sample space such as the expected value or the second moment. The approach here covers a broad class of functional dependence of the right-hand side on the current random state and is not restricted ...
Peter E. Kloeden, Thomas Lorenz
openaire   +1 more source

Nonlocal conditions for fractional differential equations

Studia Universitatis Babes-Bolyai Matematica
In this work we use the method of lower and upper solutions to develop an iterative technique, which is not necessarily monotone, and combined with a fixed point theorem to prove the existence of at least one solution of nonlinear fractional differential equations with nonlocal boundary conditions of integral type.
Boucherif, Abdelkader, Dib, Fatima, Daoudi-Merzagui, Naima   +2 more
openaire   +2 more sources