Results 41 to 50 of about 442,403 (170)

Mild solutions for the one-dimensional Nordström–Vlasov system [PDF]

Nonlinearity, 2007
The Nordstrom-Vlasov system describes the evolution of a population of self-gravitating collisionless particles. We study the existence and uniqueness of mild solution for the Cauchy problem in one dimension. This approach does not require any derivative for the initial particle density.
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Hölder estimates of mild solutions for nonlocal SPDEs [PDF]

Advances in Difference Equations, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rongrong Tian, Liang Ding, Jinlong Wei, Suyi Zheng   +3 more
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Mild Solutions of Neutral Stochastic Partial Functional Differential Equations [PDF]

International Journal of Stochastic Analysis, 2011
This paper studies the existence and uniqueness of a mild solution for a neutral stochastic partial functional differential equation using a local Lipschitz condition. When the neutral term is zero and even in the deterministic special case, the result obtained here appears to be new. An example is included to illustrate the theory.
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Controllability of mild solutions for fractional neutral evolution equations with state-dependent delay [PDF]

Archives of Control Sciences
This paper examines the controllability of mild solutions for a specific class of neutral fractional evolution equations with finite state-dependent delays in Fréchet space, employing Caputo fractional derivatives.
Selma Baghli-Bendimerad, Chahrazed Boudefla   +1 more
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Controllability of Mild Solution to Hilfer Fuzzy Fractional Differential Inclusion with Infinite Continuous Delay

Fractal and Fractional
This work investigates the solvability of the generalized Hilfer fractional inclusion associated with the solution set of a controlled system of minty type–fuzzy mixed quasi-hemivariational inequality (FMQHI).
Aeshah Abdullah Muhammad Al-Dosari
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Mild Solution of Semilinear SPDEs with Young Drifts

, 2023
17 ...
Liang, Jiahao, Tang, Shanjian
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Existence of mild solutions for fractional evolution equations [PDF]

Journal of Integral Equations and Applications, 2013
The authors study on abstract spaces the existence of mild solutions for a nonlocal Cauchy-type problems of certain fractional evolution equations involving the Riemann-Liouville derivative. The problems solved by the authors is not trivial, they use to obtain the main results the theory of Hausdorff measure of non-compactness.
Zhou, Yong, Zhang, Lu, Shen, Xiao Hui
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Neutral functional differential equations of second-order with infinite delays

Electronic Journal of Differential Equations, 2010
This work shows the existence of mild solutions to neutral functional differential equations of second-order with infinite delay. The Hausdorff measure of noncompactness and fixed point theorem are used, without assuming compactness on the associated
Runping Ye, Guowei Zhang
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Almost Periodicity of Mild Solutions of Inhomogeneous Periodic Cauchy Problems

Journal of Differential Equations, 1999
The authors consider a mild solution \(u\) to the well-posed inhomogeneous Cauchy problem \[ u'(t)= A(t)u(t)+ f(t), \] on a Banach space \(X\), where \(A(\cdot)\) is periodic. For a problem on \(\mathbb{R}_+\) the authors show that \(u\) is asymptotically almost-periodic if \(f\) is asymptotically almost-periodic, \(u\) is bounded, uniformly continuous
Batty, C, Hutter, W, Rabiger, F
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Approximations of solutions to nonlinear Sobolev type evolution equations

Electronic Journal of Differential Equations, 2003
In the present work we study the approximations of solutions to a class of nonlinear Sobolev type evolution equations in a Hilbert space. These equations arise in the analysis of the partial neutral functional differential equations with unbounded delay.
Dhirendra Bahuguna, Reeta Shukla
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