Results 71 to 80 of about 53,002 (179)
On stochastic solutions of nonlocal random functional integral equations
Arab Journal of Mathematical Sciences, 2019 In this paper, we use Schauder’s fixed point to establish the existence of at least one solution for a functional nonlocal stochastic differential equation under sufficient conditions in the space of all square integrable stochastic processes with a ...
M.M. Elborai, M.I. Youssef
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Existence of solutions for semilinear nonlocal Cauchy problems in Banach spaces
Electronic Journal of Differential Equations, 2005 In this paper, we study a semilinear differential equations with nonlocal initial conditions in Banach spaces. We derive conditions for $f$, $T(t)$, and $g$ for the existence of mild solutions.
Xingmei Xue
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Boundary Value Problems, 2018 In this paper, the authors consider the reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition. They prove that the solution either exists globally or blows up in finite time depending on the initial data,
Jian Wang, Hui Yang
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A Class of Reaction-Diffusion Systems with Nonlocal Initial Conditions
Annals of the Alexandru Ioan Cuza University - Mathematics, 2015 Abstract We consider an abstract nonlinear multi-valued reaction-diffusion system with delay and, using some compactness arguments coupled with metric fixed point techniques, we prove some sufficient conditions for the existence of at least one C0-solution.
Monica-Dana Burlică, Daniela Roşu
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Fractional Neutral Integro-Differential Equations with Nonlocal Initial Conditions
MathematicsWe primarily investigate the existence of solutions for fractional neutral integro-differential equations with nonlocal initial conditions, which are crucial for understanding natural phenomena. Taking into account factors such as neutral type, fractional-order integrals, and fractional-order derivatives, we employ probability density functions ...
Zhiyuan Yuan +4 more
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Exact controllability for nonlocal semilinear differential inclusions
Bruno Pini Mathematical Analysis SeminarIn this paper, we investigate the controllability of a class of semilinear differential inclusions in Hilbert spaces. Assuming the exact controllability of the associated linear problem, we establish sufficient conditions for achieving the exact ...
Irene Benedetti, Angelica Palazzoni
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Nonlocal evolution inclusions under weak conditions
Advances in Difference Equations, 2018 We study evolution inclusions given by multivalued perturbations of m-dissipative operators with nonlocal initial conditions. We prove the existence of solutions.
Shamas Bilal +4 more
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MathematicsWe study the Cauchy problem for differential–difference parabolic equations with potentials undergoing translations with respect to the spatial-independent variable.
Andrey B. Muravnik +1 more
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Cahn–Hilliard equations with singular potential, reaction term and pure phase initial datum
European Journal of Applied MathematicsWe consider local and nonlocal Cahn–Hilliard equations with constant mobility and singular potentials including, e.g., the Flory–Huggins potential, subject to no-flux (or periodic) boundary conditions.
Maurizio Grasselli +2 more
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Electronic Journal of Differential Equations, 2011 In this work we consider a class of impulsive fractional-order semilinear evolution equations with a nonlocal initial condition. By means of solution operator and application of fixed point theorems we established the existence and uniqueness of a ...
Archana Chauhan, Jaydev Dabas
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