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Integral Equations of Volterra Typewith Two Boundary and One Interior Singular Point
AbstractExplicit solutions of model and nonmodel integral equations of Volterra type with two boundary and one interior singular point are obtained,...
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Some novel analyses of the Caputo-type singular three-point fractional boundary value problems
In this article, we consider singular three-point second-order boundary value problems in the sense of the Caputo fractional derivatives. We derive...
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A Complete Classification on the Center-Focus Problem of a Generalized Cubic Kukles System with a Nilpotent Singular Point
In this paper, we study the center-focus problem for a generalized cubic Kukles system with a nilpotent singular point, which consists of a cubic...
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Volterra-Type Integro-Differential Equations with Two-Point Singular Differential Operator
AbstractFirst-order Volterra-type integro-differential equations with a two-point singular differential operator are considered. For this class of...
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Graphical Portraits of the Solutions of Binary First Order Nonlinear Ordinary Differential Equation Near Their Singular Point
This paper deals with the appropriate normal homeomorphic forms of a nonlinear binary first order ordinary differential equation (ODE) with smooth... -
Singular Value Decomposition
Singular value decomposition is a fundamental result in linear algebra that has far-reaching applications in applied mathematics, statistics, and... -
A limiting analysis on regularization of singular SDP and its implication to infeasible interior-point algorithms
We consider primal-dual pairs of semidefinite programs and assume that they are singular, i.e., both primal and dual are either weakly feasible or...
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Null Non-controllability for Singular and Degenerate Heat Equation with Double Singular Potential
Initial boundary value problem for singular and degenerate heat equation with double singular potential is considered. Such problems appear in many... -
The Hilbert Problem in a Half-plane for Generalized Analytic Functions with a Super-singular Point on the Contour of the Boundary Condition
AbstractIn this paper, we study an inhomogeneous Hilbert boundary value problem with a finite index for one generalized Cauchy–Riemann equation with...
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Reaction Forces of a Singular Pendulum
AbstractIn this paper, various types of behavior of reaction forces and Lagrange multipliers for the motion of mechanical systems with a...
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Sufficiency of weighted jets using Paunescu’s singular metric
In this work we consider the Paunescu’s singular metric in the source to investigate the bi-Lipschitz and differential sufficiency in the set of...
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Galois covers of singular curves in positive characteristics
We study the étale fundamental group of a singular reduced connected curve defined over an algebraically closed field of an arbitrary prime...
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Coexistence of singular cycles in a class of three-dimensional piecewise affine systems
Singular cycles (homoclinic orbits and heteroclinic cycles) play an important role in the study of chaotic dynamics of dynamical systems. This paper...