Results 131 to 140 of about 2,472 (168)

On Differential Equations with Nonlocal Switch Functionals

Journal of Mathematical Sciences, 2013
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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.
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Existence and regularity of solutions to nonlocal retarded differential equations

Applied Mathematics and Computation, 2009
The authors consider the following retarded differential equation with general nonlocal history condition: \[ \begin{aligned} u'(t)+ Au(t)= f(t,u(t),u(b(t))),\qquad ...
Shruti A. Dubey, Dhirendra Bahuguna
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Travelling Waves for a Nonlocal Delay Differential Equation

Bulletin of the Iranian Mathematical Society, 2018
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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.
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Sobolev-Type Nonlocal Conformable Stochastic Differential Equations

Bulletin of the Iranian Mathematical Society, 2021
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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
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Controllability of Semilinear Impulsive Differential Equations with Nonlocal Conditions

2008
In this paper we examine the controllability problems of certain impulsive differential equations with nonlocal conditions. Using the Schaefer fixed-point theorem we obtain sufficient conditions for controllability and we give an application.
Meili Li, Chunhai Kou, Yongrui Duan
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Measure Differential Equations with a General Nonlocal Condition

Set-Valued and Variational Analysis
The paper is concerned with the existence of regulated solutions for measure differential equations with a nonlocal condition involving a set-valued map. The first result, imposing Kurzweil-Stieltjes integrability together with a powerful convergence result, is available in finite dimensional spaces.
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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
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