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Existence Results for Some Functional Integrodifferential Equations with State-Dependent Delay

3 years ago

Abstract In this work, we establish sufficient conditions for the existence of solutions for some functional integrodifferential equations with state-dependent…

Componentwise Dinkelbach algorithm for nonlinear fractional optimization problems

3 years ago

Abstract The paper deals with fractional optimization problems where the objective function (ratio of two functions) is defined on a…

Iterative Shepard operator of least squares thin-plate spline type

3 years ago

AbstractWe propose a modified bivariate Shepard operator of least squares thin-plate spline type based on an iterative method, introduced by…

The strict superlinear order can be faster than the infinite order

3 years ago

Abstract The strict superlinear order (superlinear convergence) was usually regarded as having an intermediate speed between between linear and with…

Nash equilibria for componentwise variational systems

3 years ago

Abstract In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of…

On Ulam stability of a partial differential operator in Banach spaces

3 years ago

Abstract In this paper, we prove that, if \(\inf \limits_{x\in A}\left \vert f\left(x\right) \right \vert =m>0\), then the partial differential…

Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems

3 years ago

Abstract In this paper we establish some approximation versions of the classical Dinkelbach algorithm for nonlinear fractional optimization problems in…

Localization of solutions for semilinear problems with poly-Laplace type operators

3 years ago

Abstract The paper presents an abstract theory regarding the problems with semilinear operator equations involving iterates of a strongly monotone…

On Wachnicki’s Generalization of the Gauss–Weierstrass Integral

3 years ago

Abstract The paper aims at a generalization of the Gauss–Weierstrass integral introduced by Eugeniusz Wachnicki two decades ago. It is…

Solving ill-posed Helmholtz problems with physics-informed neural networks

3 years ago

Abstract We consider the unique continuation (data assimilation) problem for the Helmholtz equation and study its numerical approximation based on…

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