Results 231 to 240 of about 48,064 (258)

Nonlocal differential equations with convex convolution coefficients

Journal of Fixed Point Theory and Applications, 2022
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Nonlocal problems for some partial differential equations

Applicable Analysis, 1992
Abstract Nonlocal problems for polyharmonic functions and for a special third order system in a half plane are studied which have applications in elasticity. Some of them are solved explicitly on the basis of solutions to related classical problems, others are reduced to the RlEMANN problem for serveral holomorphic functions.
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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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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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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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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, Lenin Riera-Segura, Sebastián Lalvay   +2 more
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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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A topological approach to nonlocal elliptic partial differential equations on an annulus

Mathematische Nachrichten, 2021
Christopher Goodrich
exaly  

Differential equations with nonlocal boundary conditions

Nonlinear Analysis: Theory, Methods & Applications, 2001
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