Results 21 to 30 of about 188,030 (268)
Partial Differential Equations in Applied Mathematics, 2022 This paper shows the global existence and boundedness of solutions of a reaction diffusion system modeling liver infections. The existence proof is presented step by step and the focus lies on the interpretation of intermediate results in the context of ...
Cordula Reisch, Dirk Langemann
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Distributed Delay Differential Equation Representations of Cyclic Differential Equations [PDF]
SIAM Journal on Applied Mathematics, 2021 Compartmental ordinary differential equation (ODE) models are used extensively in mathematical biology. When transit between compartments occurs at a constant rate, the well-known linear chain trick can be used to show that the ODE model is equivalent to an Erlang distributed delay differential equation (DDE).
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Steady-State Motion of a Load on an Ice Cover with Linearly Variable Thickness in a Channel
Journal of Marine Science and Engineering, 2023 The paper considers the visco-elastic response of the ice cover in a channel under an external load moving with constant speed along the center line. The channel has a rectangular cross-section with a finite depth and width.
Konstantin Shishmarev +2 more
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An Approximate Solution for a Class of Ill-Posed Nonhomogeneous Cauchy Problems
Journal of Mathematics, 2021 In this paper, we consider a nonhomogeneous differential operator equation of first order u′t+Aut=ft. The coefficient operator A is linear unbounded and self-adjoint in a Hilbert space. We assume that the operator does not have a fixed sign. We associate
Nihed Teniou, Salah Djezzar
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DIFFERENTIAL GEOMETRY FROM DIFFERENTIAL EQUATIONS [PDF]
The Ninth Marcel Grossmann Meeting, 2001 37 pages, revised version with ...
Frittelli, Simonetta +2 more
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Modelling health impacts of hepatitis – model selection and treatment plans
Mathematical and Computer Modelling of Dynamical Systems, 2022 Hepatitis B and C are viruses causing liver infections and resulting in grave secondary diseases. While there are different treatments for chronic liver infections, the process of evolving chronic diseases is still not fully understood.
Cordula Reisch
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WEIGHTED VARIABLE HARDY SPACES ASSOCIATED WITH OPERATORS SATISFYING DAVIES-GAFFNEY ESTIMATES
Проблемы анализа, 2022 We introduce the weighted variable Hardy space 𝐻(^𝑝(·) _𝐿,𝑤) (ℝ^𝑛) associated with the operator 𝐿, which has a bounded holomorphic functional calculus and fulfills the Davies-Gaffney estimates. More precisely, we establish the molecular characterization
B. Laadjal +3 more
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FOURIER PROBLEM FOR WEAKLY NONLINEAR EVOLUTION INCLUSIONS WITH FUNCTIONALS
Journal of Optimization, Differential Equations and Their Applications, 2019 The Fourier problem or, in other words, the problem without initial conditions for evolution equations and inclusions arise in modeling different nonstationary processes in nature, that started a long time ago and initial conditions do not affect on them
Mykola M. Bokalo, Iryna V. Skira
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On the Cauchy Problem for Pseudohyperbolic Equations with Lower Order Terms
Mathematics, 2023 We consider a class of strictly pseudohyperbolic equations with lower order terms. The solvability of the Cauchy problem in Sobolev spaces with special weights is established. The uniqueness of the solution is proven and estimates are obtained.
Lina N. Bondar, Gennadii V. Demidenko
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Asymptotic Stability of Solutions to a Class of Second-Order Delay Differential Equations
Mathematics, 2021 We consider a class of second-order nonlinear delay differential equations with periodic coefficients in linear terms. We obtain conditions under which the zero solution is asymptotically stable. Estimates for attraction sets and decay rates of solutions
Gennadii V. Demidenko +1 more
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