Results 271 to 280 of about 4,589 (305)

Travelling Waves for a Nonlocal Delay Differential Equation

Bulletin of the Iranian Mathematical Society, 2018
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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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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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On a First Order Partial Differential Equation with Nonlocal Nonlinearity

Mathematische Nachrichten, 1983
This paper discusses solvability and asymptotic time behavior of solutions of a nonlinear integro-differential equation, adopted as a model of a continuous stirred tank emulsion polymerization reactor. A monotonicity argument is used to establish the existence and uniqueness of the stationary solution.
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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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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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Existence of Semilinear Differential Equations with Nonlocal Initial Conditions

Acta Mathematica Sinica, English Series, 2006
The author considers the existence of mild solutions for semilinear Cauchy problems \[ u'(t) =Au(t) +f(t,u(t)), \quad t\in [0,b]\text{ a.e., }u(0) =g(u) +u_0, \] where \(A\) is an infinitesimal generator of a strongly continuous semigroup \(T(t)\) of bounded linear operators in a Banach space \(X\), \(f: [0,b] \times X\to X\), \(g\in C([0,b] ;X)\) are ...
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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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