For a differential-difference evolution operator, we obtain necessary and sufficient conditions for the existence of a variational principle. We describe the structure of the operators P λ and Q for which the corresponding differential-difference equation admits a direct variational statement. © 2012 Pleiades Publishing, Ltd
The use of variational methods for the construction of sufficiently accurate approximate solutions o...
Abstract. In this paper some basic theorems on the existence, uniqueness and continuous dependence o...
Variational principles play a fundamental role in deriving the evolution equations of physics. They ...
For a differential-difference evolution operator, we obtain necessary and sufficient conditions for ...
Necessary and sufficient conditions for the existence of variational principles for a given wide cla...
The problem of existence of variational principles for wide classes of generally nonlinear different...
Using methods of nonlinear functional analysis, we define the structure of an evolution operator equ...
From the text (translated from the Russian): "In solving problems by variational methods, it is nece...
We obtain necessary and sufficient conditions for the existence of variational principles with respe...
Variational principles are proved for self-adjoint operator functions arising from variational evolu...
We develop a unified approach to the investigation of invariant properties of Euler and non-Euler fu...
Differential-difference operators are linear operators involving both d/dz and the shift z ↦ z + 1 (...
Differential-difference operators are linear operators involving both d/dz and the shift z ↦ z + 1 (...
We formulate a variational principle which models several first order parabolic Cauchy problems. Un...
A solution of a differential system can be interpreted as a maximal submanifold determined by the Ca...
The use of variational methods for the construction of sufficiently accurate approximate solutions o...
Abstract. In this paper some basic theorems on the existence, uniqueness and continuous dependence o...
Variational principles play a fundamental role in deriving the evolution equations of physics. They ...
For a differential-difference evolution operator, we obtain necessary and sufficient conditions for ...
Necessary and sufficient conditions for the existence of variational principles for a given wide cla...
The problem of existence of variational principles for wide classes of generally nonlinear different...
Using methods of nonlinear functional analysis, we define the structure of an evolution operator equ...
From the text (translated from the Russian): "In solving problems by variational methods, it is nece...
We obtain necessary and sufficient conditions for the existence of variational principles with respe...
Variational principles are proved for self-adjoint operator functions arising from variational evolu...
We develop a unified approach to the investigation of invariant properties of Euler and non-Euler fu...
Differential-difference operators are linear operators involving both d/dz and the shift z ↦ z + 1 (...
Differential-difference operators are linear operators involving both d/dz and the shift z ↦ z + 1 (...
We formulate a variational principle which models several first order parabolic Cauchy problems. Un...
A solution of a differential system can be interpreted as a maximal submanifold determined by the Ca...
The use of variational methods for the construction of sufficiently accurate approximate solutions o...
Abstract. In this paper some basic theorems on the existence, uniqueness and continuous dependence o...
Variational principles play a fundamental role in deriving the evolution equations of physics. They ...
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