Nonlocal conditions for differential inclusions in the space of functions of bounded variations
Advances in Difference Equations, 2011 We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type.
Boucherif Abdelkader, Agarwal Ravi
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Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation [PDF]
Boundary Value Problems, 2011 The purpose of writing this article is to show some spectral properties of the Bessel operator equation, with spectral parameter-dependent boundary condition.
Aslanova Nigar
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Abstract fractional integro-differential equations involving nonlocal initial conditions in
Advances in Difference Equations, 2011 In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup ...
Wang Rong-Nian, Liu Jun, Chen De-Han
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Analysis of a hyperbolic geometric model for visual texture perception. [PDF]
J Math Neurosci, 2011 International audienceWe study the neural field equations introduced by Chossat and Faugeras to model the representation and the processing of image edges and textures in the hypercolumns of the cortical area V1.
Faye G, Chossat P, Faugeras O.
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SOME NEW RESULTS OF INITIAL BOUNDARY PROBLEM CONTAIN ABC-FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α∈(2,3) [PDF]
, 2023 The purpose of this research is to investegate the existence and uniqueness of solutions for a new class of Atangana-Baleanu fractional differential equations of order with periodic boundary conditions.
Muhammad, Muhammad, Rafeeq, Ava
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Existence theory for implicit fractional q-difference equations in Banach spaces
, 2022 This paper deals with some existence results for a class of implicit fractional q-difference equations. The results are based on the fixed point theory in Banach spaces and the concept of measure of noncompactness. An illustrative example is given in the
LALEDJ, Nadjet +3 more
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Method of semidiscretization in time for quasilinearintegrodifferential equations
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 9, Page 469-478, 2004., 2004 We consider a class of quasilinear integrodifferential equations in a reflexive Banach space. We apply the method of semidiscretization in time to establish the existence, uniqueness, and continuous dependence on the initial data of strong solutions.
D. Bahuguna, Reeta Shukla
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International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 37, Page 1943-1956, 2004., 2004 This paper deals with the applications of the method of semidiscretization in time to a nonlinear retarded differential equation with a nonlocal history condition. We establish the existence and uniqueness of a strong solution. Finally, we consider some applications of the abstract results.
S. Agarwal, D. Bahuguna
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Nonlinear Time-Fractional Differential Equations in Combustion Science [PDF]
, 2011 MSC 2010: 34A08 (main), 34G20, 80A25The application of Fractional Calculus in combustion science to model the evolution in time of the radius of an isolated premixed flame ball is highlighted.
Gianni Pagnini, Pagnini, Gianni
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Existence, uniqueness, and regularity of solutions to semilinear retarded differential equations
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 213-219, 2004., 2004 In the present work, we consider a semilinear retarded differential equation in a Banach space. We first establish the existence and uniqueness of a mild solution and then prove its regularity under different additional conditions. Finally, we consider some applications of the abstract results.
D. Bahuguna
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