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ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, ISSN 0003-9527, 09/2019, Volume 233, Issue 3, pp. 1289 - 1317
A new type of differential equations for probability measures on Euclidean spaces, called measure differential equations (briefly MDEs), is introduced. MDEs... 
MATHEMATICS, APPLIED | MECHANICS | Differential equations | Diffusion rate | Euclidean geometry | Convolution | Partial differential equations | Mathematical analysis | Dependence | Ordinary differential equations | Mapping | Euclidean space | Fields (mathematics) | Monoids
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2018, Volume 56, Issue 1, pp. 1 - 23
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2017, Volume 311, pp. 314 - 323
In this paper, we study one class of generalized convolution-type singular integral equations in class {0}. Such equations are turned into complete singular... 
Fourier transform | Complete singular integral equation | Convolution kernel | Clifford analysis | Fredholm equation | EXISTENCE | MATHEMATICS, APPLIED | CAUCHY KERNEL | OPERATORS
Journal Article
1988, North-Holland mathematics studies, ISBN 9780444702487, Volume 143, 245
Book
Journal of Differential Equations, ISSN 0022-0396, 12/2018, Volume 265, Issue 11, pp. 5455 - 5471
The article is to study singular integro-differential equations involving convolutional operators and Cauchy integral operators via Riemann–Hilbert problem. To... 
Singular integro-different equations | Convolution kernel | Cauchy kernels | Riemann–Hilbert problem | MATHEMATICS | Riemann-Hilbert problem | INTEGRAL-EQUATIONS | CAUCHY KERNEL | CONVOLUTION TYPE | OPERATORS
Journal Article
Acta Mechanica, ISSN 0001-5970, 12/2019, Volume 230, Issue 12, pp. 4321 - 4340
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2019, Volume 472, Issue 1, pp. 1106 - 1131
We study, for given , the Abel-like equation where each ( ) is a -periodic function of bounded variation and each term ( ) is a jump in of state dependent... 
Abel equation | State dependent jumps | Riccati equation | Periodic solutions | Iterated convolutions algorithm | Einstein–Friedmann universe | MATHEMATICS | MATHEMATICS, APPLIED | NUMBER | Einstein Friedmann universe | LIMIT-CYCLES
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 05/2017, Volume 262, Issue 9, pp. 4567 - 4609
Using the method of sub-super-solution, we construct a solution of on of pyramidal shape. Here is the fractional Laplacian of sub-critical order and is a... 
OBSTACLE PROBLEM | LAPLACIAN | EXISTENCE | MATHEMATICS | DIFFUSION EQUATIONS | DISLOCATIONS | REGULARITY | PHASE-TRANSITIONS | STABILITY | LIMIT | CONVOLUTION MODEL
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 06/2019, Volume 474, Issue 1, pp. 1 - 22
In this study, we consider a transport-diffusion equation with Lévy noise and Hölder continuous coefficients. By using the heat kernel estimates, we derive the... 
Non-Gaussian Lévy noise | Heat kernel | Schauder estimate | Stochastic partial differential equation | Transport and diffusion | MARTINGALES | MATHEMATICS, APPLIED | SPDES | STOPPED DOOB INEQUALITY | SPACES | CONVOLUTIONS | DRIVEN | Non-Gaussian Levy noise | MATHEMATICS | PARTIAL-DIFFERENTIAL-EQUATIONS | REGULARITY | L-P-THEORY
Journal Article
1996, Operator theory, advances and applications, ISBN 3764352671, Volume 84., vi, 175
Book
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2016, Volume 38, Issue 1, pp. A146 - A170
Journal Article
1974, Translations of mathematical monographs, ISBN 0821815911, Volume 41, ix, 261
Book
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2020, Volume 370, p. 112601
Journal Article
1995, Operator theory, advances and applications, ISBN 3764351128, Volume 74., xii, 373
Book
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