Discontinuous Parabolic Problems with a Nonlocal Initial Condition [PDF]
Boundary Value Problems, 2011 We study parabolic differential equations with a discontinuous nonlinearity and subjected to a nonlocal initial condition. We are concerned with the existence of solutions in the weak sense.
Boucherif Abdelkader
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Fractional parabolic problems with a nonlocal initial condition [PDF]
Moroccan Journal of Pure and Applied Analysis, 2017 In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the ...
Abdellaoui B. +2 more
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Infinite first order differential systems with nonlocal initial conditions [PDF]
Boundary Value Problems, 2014 We discuss the solvability of an infinite system of first order ordinary differential equations on the half line, subject to nonlocal initial conditions.
Infante, Gennaro +2 more
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Existence of solutions of generalized fractional differential equation with nonlocal initial condition [PDF]
Mathematica Bohemica, 2019 This paper is devoted to studying the existence of solutions of a nonlocal initial value problem involving generalized Katugampola fractional derivative.
Sandeep P. Bhairat +1 more
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Existence of Solutions to Fractional Mixed Integrodifferential Equations with Nonlocal Initial Condition [PDF]
Advances in Difference Equations, 2011 We study the existence and uniqueness theorem for the nonlinear fractional mixed Volterra-Fredholm integrodifferential equation with nonlocal initial condition , where , , and is a given function.
A. Anguraj +2 more
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Журнал Белорусского государственного университета: Математика, информатика, 2018 We consider a nonlinear nonlocal parabolic equation ut = Δu + a(x,t)ur∫Ωup(y,t)dy - b(x,t)uq for (x,t) ∈ Ω × (0,+∞) with nonlinear nonlocal boundary condition u(x,t)|∂Ω × (0,+∞) = ∫Ωk(x,y,t)ul(y,t)dy and initial data u(x,0) = u0(x), x ∈ Ω, where r, p, q,
Alexander L. Gladkov +1 more
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On the nonlocal problems in time for subdiffusion equations with the Riemann-Liouville derivatives [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2022 Initial boundary value problems with a time-nonlocal condition for a subdiffusion equation with the Riemann-Liouville time-fractional derivatives are considered.
R.R. Ashurov, Yu.E. Fayziev
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Integrodifferential evolution systems with nonlocal initial conditions [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 The paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the nonlinear terms of the equations to behave independently as much as possible, we use a vector approach based on matrices, vector-valued norms and a vector version of Krasnoselskii's fixed point theorem for a sum ...
Sylvain Koumla, Radu Precup
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Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions [PDF]
Advances in Difference Equations, 2011 The authors study the existence and uniqueness of mild solutions for the Cauchy problem for impulsive Riemann-Liouville integro-differential equations involving non-local initial condition: \[ \begin{gathered} u'(t)- \int^t_0 {(t- s)^{\alpha-2}\over \Gamma(\alpha- 1)} Au(s)\,ds= F(t,u(t)),\quad 0\leq t\leq a,\;t\neq t_1,\\ u(0)= H(u),\\ u(t^+_i)= u(t ...
Jun Xia, Rong-Nian Wang
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Asymptotic analysis of Sturm–Liouville problem with nonlocal integral-type boundary condition
Nonlinear Analysis, 2021 In this study, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the one-dimensional Sturm–Liouville equation with one classical-type Dirichlet boundary condition and integral-type nonlocal boundary condition.
Artūras Štikonas, Erdoğan Şen
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