Results 81 to 90 of about 5,766,339 (246)
Fragmentation–Coagulation Processes With Advection or Diffusion in Space
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a continuous fragmentation–coagulation model in which the reacting particles can be transported in physical space through either advection or diffusion. We prove new results on the generation of C0$$ {C}_0 $$‐semigroups with parameter and use them to show that the abstract Cauchy problem associated with a more ...
Jacek Banasiak, Nduduzo Majozi
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Impulsive Integrodifferential Equations Involving Nonlocal Initial Conditions
Advances in Difference Equations, 2011 We focus on a Cauchy problem for impulsive integrodifferential equations involving nonlocal initial conditions, where the linear part is a generator of a solution operator on a complex Banach space.
Wang Rong-Nian, Xia Jun
doaj
On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc
European Journal of Mathematical AnalysisIn this article, we investigate the Dirichlet boundary value problem for the Cauchy-Riemann equations in the half disc. First, using the technique of parqueting–reflection and the Cauchy-Pompeiu representation formula for a half disc, we obtain an ...
Ali Darya, Nasir Tagizadeh
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On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
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The Sobolev-type equations of the second order with the relatively dissipative operator pencils
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 Of concern is the Cauchy problem for the Sobolev-type equation of the second order. We introduce the definition of relatively dissipative operator pencils, generalize the notion of dissipativity and relative dissipativity of operators.
O. Tsyplenkova, A. A. Zamyshlyaeva
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Generalizations of the Dirichlet Problem for Bianalytic Functions
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We prove the Dirichlet problem for second‐order iterated Vekua equations, a natural generalization of the Bitsadze equation, is well‐posed when the boundary condition is defined as a product of an exponential function and a polynomial on a non‐degenerate conic that is not a circumference.
William L. Blair
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Stabilization of solutions for semilinear parabolic systems as $|x|o infty$
Electronic Journal of Differential Equations, 2009 We prove that solutions of the Cauchy problem for semilinear parabolic systems converge to solutions of the Cauchy problem for a corresponding systems of ordinary differential equations, as $|x| o infty$.
Alexander Gladkov
doaj
Mathematics, 2019 In this paper, the Cauchy problem of the modified Helmholtz equation (CPMHE) with perturbed wave number is considered. In the sense of Hadamard, this problem is severely ill-posed. The Fourier truncation regularization method is used to solve this Cauchy
Fan Yang, Ping Fan, Xiao-Xiao Li
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On the Reconstruction of Planar Vector Fields From Its Longitudinal and Transverse Ray Transform
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We consider a planar vector tomography problem of reconstructing a complex‐valued vector field from the (complete and partial) information of its longitudinal and transverse ray transforms, as well as from one of those transforms and its first moment.
Kamran Sadiq
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International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT Swelling of clay‐sulfate rocks is a concern in geotechnical engineering that can damage infrastructure. In the historic town of Staufen in southwest Germany, geothermal drilling into a swellable anhydrite‐bearing clay formation resulted in water inflow and subsequent swelling, triggering ground heave and damage to more than 250 houses.
Reza Mahmoudi Kouhi +4 more
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