Results 1 to 10 of about 342 (59)
Local attractivity for integro-differential equations with noncompact semigroups
Nonautonomous Dynamical Systems, 2020 In this paper, we are devoted to study the existence and local attractivity of solutions for a class of integro-differential equations.Under the situation that the nonlinear term satisfy Carathéodory conditions and a noncompactness measure condition, we ...
Diop Amadou +3 more
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On deconvolution problems: numerical aspects [PDF]
, 2004 An optimal algorithm is described for solving the deconvolution problem of the form ${\bf k}u:=\int_0^tk(t-s)u(s)ds=f(t)$ given the noisy data $f_\delta$, $||f-f_\delta||\leq \delta.$ The idea of the method consists of the representation ${\bf k}=A(I+S)$,
Alexander G. Ramm +21 more
core +3 more sources
Electromagnetic fields in linear and nonlinear chiral media: a time‐domain analysis
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 471-486, 2004., 2004 We present several recent and novel results on the formulation and the analysis of the equations governing the evolution of electromagnetic fields in chiral media in the time domain. In particular, we present results concerning the well‐posedness and the solvability of the problem for linear, time‐dependent, and nonlocal media, andresults concerning ...
Ioannis G. Stratis +1 more
wiley +1 more source
Structure of optimal trajectories in a nonlinear dynamic model with endogenous delay
Journal of Applied Mathematics, Volume 2004, Issue 5, Page 433-445, 2004., 2004 An exact solution is constructed to a nonlinear optimization problem in an integral dynamic model with delay. The problem involves the unknown duration of the delay and has important applications to the optimal replacement of capital equipment under technological change.
Natali Hritonenko, Yuri Yatsenko
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Coupled system of a fractional order differential equations with weighted initial conditions
Open Mathematics, 2019 Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A. +1 more
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Integral equations of the first kind of Sonine type
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3609-3632, 2003., 2003 A Volterra integral equation of the first kind Kφ(x):≡∫−∞xk(x−t)φ(t)dt=f(x) with a locally integrable kernel k(x)∈L1loc(ℝ+1) is called Sonine equation if there exists another locally integrable kernel ℓ(x) such that ∫0xk(x−t)ℓ(t)dt≡1 (locally integrable divisors of the unit, with respect to the operation of convolution). The formal inversion φ(x)=(d/dx)
Stefan G. Samko, Rogério P. Cardoso
wiley +1 more source
Time dependent delta-prime interactions in dimension one [PDF]
, 2016 We solve the Cauchy problem for the Schr\"odinger equation corresponding to the family of Hamiltonians $H_{\gamma(t)}$ in $L^{2}(\mathbb{R})$ which describes a $\delta'$-interaction with time-dependent strength $1/\gamma(t)$.
Cacciapuoti, Claudio +2 more
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Singularly perturbed Volterra integral equations with weakly singular kernels
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 3, Page 129-143, 2002., 2002 We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay algebraically rather than exponentially within the initial (boundary) layer. To analyse this phenomenon, the
Angelina Bijura
wiley +1 more source
A nonstandard Volterra integral equation on time scales
Demonstratio Mathematica, 2019 This paper introduces the more general result on existence, uniqueness and boundedness for solutions of nonstandard Volterra type integral equation on an arbitrary time scales.
Reinfelds Andrejs, Christian Shraddha
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Fredholm‐Volterra integral equation with potential kernel
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 6, Page 321-330, 2001., 2001 A method is used to solve the Fredholm‐Volterra integral equation of the first kind in the space L2(Ω) × C(0, T), Ω={(x,y):x2+y2≤a}, z = 0, and T < ∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω] × [Ω]), while the kernel of Volterra integral term is a positive and continuous function ...
M. A. Abdou, A. A. El-Bary
wiley +1 more source