Cover Image

Necessary and Sufficient Conditions for the Solvability of the Gauss Variational Problem

We investigate the well-known Gauss variational problem considered over classes of Radon measures associated with a system of sets in a locally compact space. Under fairly general assumptions, we obtain necessary and sufficient conditions for its solvability. As an auxiliary result, we describe po...

Full description

Saved in:

Bibliographic Details
Date:	2005
Main Authors:	Zorii, N. V., Зорий, Н. В.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3574
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Extremal problems dual to the Gauss variational problem
by: Zorii, N. V., et al.
Published: (2006)

Necessary and Sufficient Condition for Solvability of a Partial Integral Equation
by: Eshkabilov, Yu.Kh.
Published: (2009)

A noncompact variational problem in the theory of riesz potentials. II
by: Zorii, N. V., et al.
Published: (1996)

Necessary and Sufficient Conditions for the Solvability of Linear Boundary-Value Problems for the Fredholm Integrodifferential Equations
by: D. S. Dzhumabaev
Published: (2014)

Necessary and Sufficient Conditions for the Solvability of Linear Boundary-Value Problems for the Fredholm Integrodifferential Equations
by: Dzhumabaev, D. S., et al.
Published: (2014)

Necessary and sufficient conditions of optimality in the problems of control with fuzzy parameters
by: Molchanyuk, I. V., et al.
Published: (2009)

Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps
by: Slyusarchuk, V. Yu., et al.
Published: (2016)

On Necessary and Sufficient Conditions for the Asymptotic Stability of Impulsive Systems
by: Ignat'ev, A. O., et al.
Published: (2003)

On variational problems of the theory of potential
by: Zoriy , N. V., et al.
Published: (1991)

Necessary and sufficient conditions for the invertibility of nonlinear differentiable maps
by: Yu. Sliusarchuk
Published: (2016)

Equilibrium Problems for Potentials with External Fields
by: Zorii, N. V., et al.
Published: (2003)

Extremal Problems in the Theory of Capacities of Condensers in Locally Compact Spaces. I
by: Zorii, N. V., et al.
Published: (2001)

Extremal Problems in the Theory of Capacities of Condensers in Locally Compact Spaces. II
by: Zorii, N. V., et al.
Published: (2001)

Extremal Problems in the Theory of Capacities of Condensers in Locally Compact Spaces. III
by: Zorii, N. V., et al.
Published: (2001)

On necessary and sufficient conditions for the summability of a numerical series to imply its convergence
by: Davydov, N. A., et al.
Published: (1995)

Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)
by: Feller, M. N., et al.
Published: (1994)

Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions
by: W. Y. Kota, et al.
Published: (2023)

On a necessary and sufficient condition of equipower continuity of a family of mappings
by: E. A. Sevostjanov
Published: (2013)

Necessary and sufficient condition for the existence of the one-point time on an oriented set
by: Ya. I. Hrushka
Published: (2019)

Sufficient and necessary conditions for the generalized distribution series to be in subclasses of univalent functions
by: Kota, W. Y., et al.
Published: (2023)

Necessary and Sufficient Conditions for the Existence of Weighted Singular-Valued Decompositions of Matrices with Singular Weights
by: Galba, E. F., et al.
Published: (2015)

Theory of Potential with Respect to Consistent Kernels; Theorem on Completeness and Sequences of Potentials
by: Zorii, N. V., et al.
Published: (2004)

Equilibrium Potentials with External Fields
by: Zorii, N. V., et al.
Published: (2003)

On capacity characteristics of condensers
by: Zorii, N. V., et al.
Published: (1996)

Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential
by: Zubkova, E.I., et al.
Published: (2009)

Necessary and Sufficient Conditions for the Existence of Weighted Singular-Valued Decompositions of Matrices with Singular Weights
by: I. V. Sergienko, et al.
Published: (2015)

Necessary and sufficient conditions for the oscillation of solutions of nonlinear differential equations with pulse influence in a banach space
by: Slyusarchuk, V. E., et al.
Published: (1999)

Necessary and sufficient condition of isomorphism for multiplicative and additive systems without continuity condition with the accuracy up to grinding divisions
by: Kozachenko, M. Yu., et al.
Published: (1988)

Necessary and sufficient conditions for oscillation of solutions of nonlinear pulse systems with multiplicatively separated right-hand side
by: Slyusarchuk, V. Yu., et al.
Published: (1995)

On solvability of variational inequalities with discontinuous semimonotone operators
by: Pavlenko, V. N., et al.
Published: (1993)

Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. I
by: Silvestrov, D.S., et al.
Published: (2006)

Necessary and sufficient conditions for weak convergence of first-rare-event times for semi-Markov processes. II
by: Silvestrov, D.S., et al.
Published: (2006)

Comparison theorems and necessary/sufficient conditions for the existence of nonoscillatory solutions of forced impulsive differential equations with delay
by: Shao Yuan Huang, et al.
Published: (2012)

Necessary and sufficient conditions for the invertibility of piecewise autonomous difference operators in the space of bounded two-sided sequences
by: Yu. Sliusarchuk
Published: (2020)

Comparison theorems and necessary/sufficient conditions for existence of nonoscillatory solutions of forced impulsive delay differential equations
by: Cheng, Sui Sun, et al.
Published: (2012)

Necessary and sufficient conditions for the absolute instability of solutions of linear differential-difference equations with self-adjoint operator coefficients
by: Slyusarchuk, V. Yu., et al.
Published: (2018)

Necessary and sufficient terms of effective realization of investment activity of navigable companies of Ukraine
by: V. V. Zhikhareva
Published: (2010)

Extremal Problems in Logarithmic Potential Theory
by: Zorii, N. V., et al.
Published: (2002)

Sufficient conditions and radius problems for the Silverman class
by: S. S. Kumar, et al.
Published: (2024)

Sufficient conditions and radius problems for the Silverman class
by: Kumar, S. Sivaprasad, et al.
Published: (2024)