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Spectral methods for studying degenerate differential-operator equations. I
Journal of Mathematical Sciences, 2007Differential-algebraic equations on Banach spaces are considered. The achievements of the last decades are reviewed. In particular, this work discusses the solvability analysis via spectral decomposition of the operators and via Laplace transform. Applications to evolutionary problem in electrodynamics are presented.
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Differential Operators Defining Solutions to Iterated Hyperbolic-Type Equations
Cybernetics and Systems AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lyashko, S. I. +3 more
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Matrix-Differential-Operator Approach to the Maxwell Equations and the Dirac Equation
Acta Applicandae Mathematicae, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonstopping Iteration for Ordinary Differential Operator Equation
1984We give a nonstopping iteration scheme in finding a least-square solution for a Hilbert space operator equation. This operator is generated by a regular first order ordinary differential system and is nondensely defined.
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Degenerate Third Order Differential-operator Equations
Journal of Mathematical Sciences, 2023openaire +1 more source
Fractional differential operators and divergence equations
2021Liguang Liu, Jie Xiao
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Distributed and variable order differential-operator equations
2015In Section 5.6 we studied the existence of a solution to the multi-point value problem for a fractional order pseudo-differential equation with m fractional derivatives of the unknown function. This is an example of fractional distributed order differential equations.
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Differentiable Operators and Nonlinear Equations
1994Victor Khatskevich, David Shoiykhet
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