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Boundary value problems for elliptic integro-differential operators

Boundary value problems for elliptic integro-differential operators
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Markov processes associated with certain integro-differential operators

Markov processes associated with certain integro-differential operators
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Explicit Formulae for Integro-Differential Operational Matrices

Mathematics in Computer Science, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Matos, José M. A., Rodrigues, Maria João, Carrilho de Matos, João   +2 more
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Green's formula for integro-differential operators

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niyaz Tokmagambetov, Berikbol T. Torebek
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Integro-differential equations and operational methods

Il Nuovo Cimento B, 2004
A novel technique for the solution of integro-differential equations of evolution type is presented. The method is based on an operational formalism, inspired to methods currently adopted in quantum mechanics, which has been recently developed to treat families of partial differential equations of parabolic and non-parabolic type.
DATTOLI G., PACCIANI P., RICCI, Paolo Emilio   +2 more
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ELLIPTIC SINGULAR INTEGRO-DIFFERENTIAL OPERATORS

Russian Mathematical Surveys, 1965
CONTENTSIntroduction § 1. Theme of the article § 2. Brief survey of the literatureChapter I. Function spaces § 3. Notation and terminology § 4. The spaces § 5. The spaces Chapter II. Singular integro-differential operators § 6. Expansion in terms of spherical functions § 7. Singular integral operators in § 8.
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Bellman equation with integro-differential operators

1982 21st IEEE Conference on Decision and Control, 1982
Existence and regularity results are obtained for Bellman equation with integro-differential operators, corresponding to the stochastic control of diffusion processes with jumps.
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Symbolic Computation with Integro-Differential Operators

Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016
The algebraic and algorithmic study of integro-differential algebras and operators has only started in the past decade. Integro-differential operators allow us in particular to study initial value and boundary problems for linear ODEs from an algebraic point of view.
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On Singular Integro‐Differential Operators on the Halfaxis

Mathematische Nachrichten, 1987
AbstractIn the frame of classical SOBOLEV spaces the FREDHOLM property will be characterized for a class of singular integro‐differential operators on the positive halfaxis. A symbol calculus moreover permits to specify an index formula and a special FREDHOLM inverse.
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Inverse problems for first-order integro-differential operators

Mathematical Notes, 2016
The author is concerned with the problem of reconstructing the continuous functions \(M(x,t)\), and \(R(x)\), \(V(x)\), \(0\leq t\leq x\leq \pi\) from the integrodifferential equations: \[ iy'(x) + \int^{x}_{0} M(x,t) y(t) dt = \lambda y(x),\quad x\in [0,\pi], \quad\text{ and} \] \[ iy'(x) + \int^{x}_{0} M(x,t) y(t)dt + R(x) \int^{\pi}_{0} V(t) y(t) dt
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