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Impulsive problems for semilinear differential equations with nonlocal conditions

Nonlinear Analysis: Theory, Methods & Applications, 2010
This paper deals with the impulsive differential equation with nonlocal conditions \[ \begin{aligned} u'(t) &= Au(t) + f(t, u(t)), 0\leq t\leq b, t\neq t_i,\\ u(0) &= u_0-g(u),\\ \Delta u(t_i) &= I_i(u(t_i)), i = 1, 2, \dots, p, 0 < t_1 < t_2 < \dots < t_p < b, \end{aligned} \] where \(A : D(A) \subseteq X \to X\) is the infinitesimal generator of a ...
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Semilinear Neutral Differential Equations with Impulses and Nonlocal Conditions

Differential Equations and Dynamical Systems
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Hugo Leiva   +2 more
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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
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The Cauchy Problem for a Differential-Difference Nonlocal Wave Equation

Differential Equations, 2005
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Nonlocal solutions of V-dissipative differential equations

Ukrainian Mathematical Journal, 1984
In this paper we consider questions of existence of nonlocal solutions of V-dissipative differential equations in a Banach space and also the existence of bounded and almost-periodic solutions.
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Coercive nonlocal elements in fractional differential equations

Positivity, 2016
By introducing a new order cone and a new open set attendant to the cone, the usefulness of the new set as well as the strength of the coercivity condition and its dependence on the order of the fractional derivative are investigated. The obtained results are applied to a class of fractional-order boundary value problems.
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Differential equations with nonlocal boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 2001
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On a Fractional Differential Equation with r-Laplacian Operator and Nonlocal Boundary Conditions

Mathematics, 2022
Johnny Henderson   +2 more
exaly  

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