Results 301 to 310 of about 4,987,876 (357)

On the solvability of a nonlocal problem for the system of Sobolev-type differential equations with integral condition

Georgian Mathematical Journal, 2019
Sufficient conditions for the existence and uniqueness of a classical solution to a nonlocal problem for a system of Sobolev-type differential equations with integral condition are established.
A. Assanova
semanticscholar   +1 more source

INTEGRATED CONDITIONAL MOMENT TESTS FOR PARAMETRIC CONDITIONAL DISTRIBUTIONS

Econometric Theory, 2011
In this paper we propose consistent integrated conditional moment tests for the validity of parametric conditional distribution models, based on the integrated squared difference between the empirical characteristic function of the actual data and the characteristic function implied by the model.
Bierens, Herman J., Wang, Li
openaire   +1 more source

Solving Fredholm integro-differential equations involving integral condition: A new numerical method

Mathematica Slovaca
In this work we investigate a nonlocal problem for the Fredholm integro-differential equation involving integral condition. The main tool used in our considerations is Dzhumabaev parametrization method.
Zh. M. Kadirbayeva, E. Bakirova, A. Tleulessova   +2 more
semanticscholar   +1 more source

Inverse problem with a time‐integral condition for a fractional diffusion equation

Mathematical methods in the applied sciences, 2019
We find the conditions for the unique solvability of the inverse problem for a time‐fractional diffusion equation with Schwarz‐type distributions in the right‐hand sides. This problem is to find a generalized solution of the Cauchy problem and an unknown
H. Lopushanska, Andriy Lopushansky
semanticscholar   +1 more source

Integral coalescence conditions

Molecular Physics, 1967
The general coalescence conditions of Pack and Byers Brown for spatial eigenfunctions are used to derive integral coalescence conditions for exact wavefunctions Ψ for atoms and molecules with definite spin quantum numbers. These conditions for the special case of nodeless Ψ are equivalent to the cusp conditions for the electron and spin densities of ...
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Boundary Conditions from Path Integrals

Physical Review Letters, 1988
A particle moving in two dimensions in a repulsive ${r}^{\ensuremath{-}2}$ potential, and in the presence of a magnetic flux line, is examined as an example of a system for which the Schr\"odinger Hamiltonian is not essentially self-adjoint. The path-integral propagator is, nevertheless, shown to exist, and to define a unique self-adjoint extension of ...
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Boundary Conditions for Multidimensional Integrable Equations

Functional Analysis and Its Applications, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khabibullin, I. T., Gudkova, E. V.
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Integrability Conditions and Carathéodory's Theorem

American Journal of Physics, 1954
The theorem of Carathéodory is proved by showing that the necessary and sufficient condition for the existence of points neighboring to an arbitrary point which are inaccessible from the latter along solution curves of a linear total differential equation is that the conditions of integrability of the equation be satisfied.
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Integral Boundary Conditions

1994
We first consider an expository linear example: with conditions given as: γ, β 1,, and β 2 are assumed constants here although they can be functions of x with minor modifications to the procedure given. In decomposition format we have Lu + Ru = 0 or L−1Lu = I:−L−1 Ru or where is a two-fold pure integration with respect to x.
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Integrated substation condition monitoring

2013
This chapter reviews a range of monitoring systems that are currently available and the steps taken to provide the coordinated approach by developing an integrated system to present the 'complete substation picture'.
T. Irwin, C. Charlson, M. Schuler
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