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Numerical Analysis of Stationary Solutions of Systems with Delayed Argument in Mathematical Immunology
This work is devoted to the technology developed by the authors that allows one for fixed values of parameters and tracing by parameters to calculate...
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Nonautonomous Dynamics: Classification, Invariants, and Implementation
The work is a brief review of the results obtained in nonautonomous dynamics based on the concept of uniform equivalence of nonautonomous systems....
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A Model of String System Deformations on a Star Graph with Nonlinear Condition at the Node
In this paper, a model of deformations of Stieltjes strings system located along a geometric star graph with a nonlinear condition at the node is...
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Homogenization of a Parabolic Equation in a Perforated Domain with a Unilateral Dynamic Boundary Condition: Critical Case
The present paper studies the homogenization of the parabolic equation stated in a domain perforated by “tiny” balls. On the boundary of these...
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Maslov Complex Germ and Semiclassical Contracted States in the Cauchy Problem for the Schrödinger Equation with Delta Potential
We describe the semiclassical asymptotic behavior of the solution of the Cauchy problem for the Schrödinger equation with a delta potential localized...
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Investigations on uniqueness of meromorphic functions in the k-punctured complex plane
In this paper, we have exhaustively studied the uniqueness of meromorphic function sharing five small functions in k -punctured complex plane, under...
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Remarks on control and inverse problems for PDEs
This paper deals with recent results and open questions on the control and parameter identification of systems governed by PDEs. Among them, we find...
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Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator
In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the...
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Robust numerical scheme for 2D fractional integro-differential equations of Volterra type
This article provides a numerical study of two-dimensional Volterra integro-differential equations involving fractional derivatives in the Caputo...
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Variational problems for the system of nonlinear Schrödinger equations with derivative nonlinearities
We consider the Cauchy problem of the system of nonlinear Schrödinger equations with derivative nonlinearlity. This system was introduced by Colin...
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New Existence Results for Evolutionary Quasi-Hemi-Variational Inequalities with Semi-monotone Maps and Applications to Optimal Control Problems
The paper presents new results for the existence of solutions for an evolutionary quasi-hemi-variational inequality, which involves a semi-monotone...
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\(C^{1,\alpha }\) regularity for stationary mean-field games with logarithmic coupling
This paper investigates stationary mean-field games (MFGs) on the torus with Lipschitz non-homogeneous diffusion and logarithmic-like couplings. The...
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Quantum Fibrations: Quantum Computation on an Arbitrary Topological Space
Using operator algebras, we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space. Quantum...