We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
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Nonequilibrium corrections to energy spectra of massive particles in expanding universe [PDF]
Deviations from kinetic equilibrium of massive particles caused by the universe expansion are calculated analytically in the Boltzmann approximation. For the case of an energy independent amplitude of elastic scattering, an exact partial differential ...
A.D. Dolgov +14 more
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Bounded and multiperiodic solutions of the system of partial integro-differential equations
The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova +3 more
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Non-linear degenerate integro-partial differential evolution equations related to geometric Lévy processes and applications to backward stochastic differential equations [PDF]
We prove a comparison principle for unbounded semicontinuous viscosity sub- and supersolutions of non-linear degenerate parabolic integro-partial differential equations coming from applications in mathematical finance in which geometric Levy processes act as the underlying stochastic processes for the assets dynamics. As a consequence of the “geometric
AMADORI, Anna Lisa +2 more
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A new perturbative technique for solving integro-partial differential equations [PDF]
Integro-partial differential equations occur in many contexts in mathematical physics. Typical examples include time-dependent diffusion equations containing a parameter (e.g., the temperature) that depends on integrals of the unknown distribution function.
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Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
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Inverse problem for quazilinear partial integro-differential equations of higher order
A method of studying an inverse problem for the some classes of quasilinear partial integro-differential equation of the higher order is proposed. A theorem on the existence and uniqueness of the solution of this problem is proved.
A. I. Seredkina, T. K. Yuldashev
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The questions of the one-value solvability of an inverse boundary value problem for a mixed type integro-differential equation with Caputo operators of different fractional orders and spectral parameters are considered.
Tursun K. Yuldashev, Erkinjon T. Karimov
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Regularity theory for fully nonlinear integro-differential equations [PDF]
We consider nonlinear integro-differential equations, like the ones that arise from stochastic control problems with purely jump L\`evy processes.
Caffarelli, Luis, Silvestre, Luis
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On The Semi-Analytical Solution of Integro-Partial Differential Equations
Abstract The breakage and aggregation processes in batch systems had attained highly interest in applied mathematics and engineering fields. In this work, we developed analytical solutions of the particle breakage and aggregation using the population balance equation (PBE) in batch flow systems.
Abdelmalek Hasseine +3 more
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