Results 11 to 20 of about 348 (58)
Fixed Point Results for Geraghty Type Contraction Mapping in Neutrosophic b-Metric Spaces
Abstract and Applied AnalysisMSC2020 Classification: 47H10, 45D05 ...
M. Pandiselvi +2 more
doaj +2 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
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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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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
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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
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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
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Semilinear Volterra integrodifferential equations with nonlocal initial conditions
Abstract and Applied Analysis, Volume 4, Issue 2, Page 127-139, 1999., 1999 We establish the global existence of mild solutions to a class of nonlocal Cauchy problems associated with semilinear Volterra integrodifferential equations in a Banach space.
Sergiu Aizicovici, Mark Mckibben
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An oscillation criterion for inhomogeneous Stieltjes integro‐differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 2, Page 287-291, 1994., 1993 The aim of the paper is to give an oscillation theorem for inhomogeneous Stieltjes integro‐differential equation of the form . The paper generalizes the author′s work [2].
M. A. El-Sayed
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Existence of a solution of a Fourier nonlocal quasilinear parabolic problem
International Journal of Stochastic Analysis, Volume 5, Issue 1, Page 43-67, 1992., 1991 The aim of this paper is to give a theorem about the existence of a classical solution of a Fourier third nonlocal quasilinear parabolic problem. To prove this theorem, Schauder′s theorem is used. The paper is a continuation of papers [1]‐[8] and the generalizations of some results from [9]‐[11].
Ludwik Byszewski
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Extremal solutions to a class of multivalued integral equations in Banach space
International Journal of Stochastic Analysis, Volume 5, Issue 3, Page 205-220, 1992., 1992 We consider a nonlinear Volterra integral inclusion in a Banach space. We establish the existence of extremal integral solutions, and we show that they are dense in the solution set of the original equation. As an important application, we obtain a “bang‐bang” theorem for a class of nonlinear, infinite dimensional control systems.
Sergiu Aizicovici +1 more
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