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Directional Derivative of the Value Function for Parametric Set-Constrained Optimization Problems
This paper is concerned with the directional derivative of the value function for a very general set-constrained optimization problem under...
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Power of an Entire Function Sharing One Value Partially with Its Derivative
AbstractIn the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with its derivatives and...
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Boundary value problems of quaternion-valued differential equations: solvability and Green’s function
This paper is associated with Sturm–Liouville type boundary value problems and periodic boundary value problems for quaternion-valued differential...
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Directional differentiability of the optimal value function in quadratic programming problem on Hilbert spaces
First-order directional differentiability of the optimal value function for parametric quadratic programming problems in Hilbert spaces is...
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Optimization of the Optimal Value Function in Problems of Convex Parametric Programming
We consider a problem of convex parametric programming in which the objective function and the constraint functions are convex functions of an...
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Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order
This study aims to resolve weighted fractional operators of variable order in specific spaces. We establish an investigation on a boundary value...
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Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems
Numerical methods for the optimal feedback control of high-dimensional dynamical systems typically suffer from the curse of dimensionality. In the...
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An Improved Method for Approximating the Infinite-Horizon Value Function of the Discrete-Time Switched LQR Problem
This paper considers the problem of approximating the infinite-horizon value function of the discrete-time switched LQR problem. In particular, the...
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Mean value theorems for the Apostol–Vu double zeta-function and its application
We consider mean value theorems for various double zeta-functions. We calculate mean square values for the Apostol–Vu double zeta-function, as well...
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Locally bounded variations epigraph property of the value function to infinite horizon optimal control problems under state constraints
This paper addresses infinite horizon control problems under state constraints and some regularity aspects of the associated value function through...
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Integral Operators in Non-Standard Function Spaces Volume 3: Advances in Grand Function Spaces
The present monograph serves as a natural extension of the prior 2-volume monograph with the same title and by the same authors, which encompassed...
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Solvability of Three Point Fractional Boundary Value Problem Using Mittag-Leffler Function
This paper is presented to learn about the existence and uniqueness of three point BVP (boundary value problems) of non-integer order
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On the relationship between the value function and the efficient frontier of a mixed integer linear optimization problem
In this study, we investigate the connection between the efficient frontier (EF) of a general multiobjective mixed integer linear optimization...
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Numerical solution of Bratu’s boundary value problem based on Green’s function and a novel iterative scheme
We compute the numerical solution of the Bratu’s boundary value problem (BVP) on a Banach space setting. To do this, we embed a Green’s function into...
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On Piecewise Cubic Estimates of the Value Function in a Target Control Problem for a Nonlinear System
AbstractA nonlinear system of ordinary differential equations with control parameters is considered. Pointwise restrictions are imposed on the...
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A Weaker Smoothness Criterion for the Inverse Function Theorem, the Intermediate Value Theorem, and the Mean Value Theorem in a non-Archimedean Setting
AbstractWe introduce a class of so-called very weakly locally uniformly differentiable (VWLUD) functions at a point of a general non-Archimedean...
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Extension of the value function reformulation to multiobjective bilevel optimization
We consider a multiobjective bilevel optimization problem with vector-valued upper- and lower-level objective functions. Such problems have attracted...
