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THE LOCAL SOLVABILITY OF A CLASS OF PSEUDO–DIFFERENTIAL EQUATIONS OF PRINCIPAL TYPE
Acta Mathematica Scientia, 1986The local solvability of pseudo differential equations already have been mentioned by many authors, but in general, the pseudo differential operators which were discussed belong to \(S^ m_{10}\), and their principal symbols p(x,\(\xi)\) are homogeneous functions with respect to \(\xi\).
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Measure pseudo almost periodic solutions for differential equations with reflection
Applicable Analysis, 2022Mohsen Miraoui, Mohsen Miraoui
exaly
On solvability of some pseudo-differential equations
Proceeding of the International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin, 2018Georgii Nikolaevich Aver'yanov +1 more
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Semilinear pseudo-differential equations and travelling waves
2007We consider semilinear perturbations of the SG-elliptic pseudodifferential equations. We prove for them a theorem on the regularity of the solutions in the functional frame of the Gelfand-Shilov classes. Applications are given to the study of travelling solitary waves.
MARCO CAPPIELLO +2 more
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An inverse problem of determining orders of systems of fractional pseudo-differential equations
Fractional Calculus and Applied Analysis, 2022Ravshan Ashurov, , Umarov Sabir
exaly