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Differential operators determining solutions of Elliptic equations
Ukrainian Mathematical Journal, 1995We construct differential operatorsLg(z), Kg(z), Nf¯(z), Mf¯z) which map arbitrary functions holomorphic in a simply connected domainD of the planez=x+iy into regular solutions of the equation $$W_{z\bar z} + A(z,\bar z)W_{\bar z} + B(z,\bar z)W = 0$$ and present examples of the application of these differential operators to the solution of ...
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Fractional differential operators and divergence equations
2021Liguang Liu, Jie Xiao
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In-context operator learning with data prompts for differential equation problems
Proceedings of the National Academy of Sciences of the United States of America, 2023Tingwei Meng, Liu Yang, Stanley Osher
exaly
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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On the Fractional Functional Differential Equation with Abstract Volterra Operator
Bulletin of the Brazilian Mathematical Society, 2019JOSÉ Vanterler Sousa +2 more
exaly
An Operator Method for a Third Order Partial Differential Equation
Numerical Functional Analysis and Optimization, 2017Allaberen Ashyralyev
exaly