Results 11 to 20 of about 330 (99)
Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay [PDF]
Advances in Differential Equations, 2013 Of concern is the existence of mild solutions to delay fractional differential equations with almost sectorial operators. Combining the techniques of operator semigroup, noncompact measures and fixed point theory, we obtain a new existence theorem ...
Fang Li
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Existence results for a partial neutral integro-differential equation with state-dependent delay [PDF]
, 2010 . In this paper we study the existence of mild solutions for a class of abstractpartial neutral integro-differential equations with state-dependent delay.
dosSantos, J.P.C.
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Global solutions for abstract functional differential equations with nonlocal conditions [PDF]
, 2009 In this paper we study the existence of global solutions for a class of abstract functional differential equation with nonlocal conditions.
Hernandez, E., TanakaAki, SueliM.
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Open Mathematics, 2022 In this paper, we study the existence of solutions for the neutral evolution equations with nonlocal conditions and delay in α\alpha -norm, which are more general than in many previous publications.
Zhang Xuping, Sun Pan
doaj +1 more source
On the decoupled Markov group conjecture
Bulletin of the London Mathematical Society, Volume 53, Issue 1, Page 240-247, February 2021., 2021 Abstract The Markov group conjecture, a long‐standing open problem in the theory of Markov processes with countable state space, asserts that a strongly continuous Markov semigroup T=(Tt)t∈[0,∞) on ℓ1 has bounded generator if the operator T1 is bijective. Attempts to disprove the conjecture have often aimed at glueing together finite‐dimensional matrix
Jochen Glück
wiley +1 more source
Port-Hamiltonian model of two-dimensional shallow water equations in moving containers
IMA Journal of Mathematical Control and Information, 2020 The free surface motion in moving containers is an important physical phenomenon for many engineering applications. One way to model the free surface motion is by employing shallow water equations (SWEs).
F. Cardoso-Ribeiro +2 more
semanticscholar +1 more source
Faedo-Galerkin approximation of mild solutions of fractional functional differential equations
Nonautonomous Dynamical Systems, 2021 In the paper, we discuss the existence and uniqueness of mild solutions of a class of fractional functional differential equations in Hilbert space separable using the Banach fixed point theorem technique.
Sousa J. Vanterler da C. +2 more
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Nonautonomous Dynamical Systems, 2022 In this work, we study a class of abstract non-autonomous partial functional differential equations with infinite delay. Our main results concern the local existence of the mild solution which can blow up at the finite time.
Diop Mamadou Abdoul +2 more
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Open Mathematics, 2023 In this article, we study the existence of mild solutions and the approximate controllability for a class of stochastic elastic systems with structural damping and infinite delay in Hilbert spaces.
Peng Jiankui +3 more
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Solvability of the abstract evolution equations in Ls-spaces with critical temporal weights
Open Mathematics, 2021 This paper deals with the abstract evolution equations in Ls{L}^{s}-spaces with critical temporal weights. First, embedding and interpolation properties of the critical Ls{L}^{s}-spaces with different exponents ss are investigated, then solvability of ...
Zhang Qinghua, Tan Zhizhong
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