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WELL-POSEDNESS OF SECOND ORDER DEGENERATE DIFFERENTIAL EQUATIONS WITH INFINITE DELAY IN HOLDER CONTINUOUS FUNCTION SPACES

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2021; 33 (2)

Using operator-valued (C)over dot(alpha)-Fourier multiplier results on vector-valued Holder continuous function spaces and the Carleman transform, we ......

MULTIPLICITY RESULTS TO NONLINEAR HAMMERSTEIN INTEGRAL EQUATIONS AND APPLICATIONS

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2021; 33 (2)

Under certain assumptions on the functions f, G and h, we establish one new criterion on the operator L defined on C(I) by Lu(t) = integral(w)(0) G(t,......

A FAST MULTISCALE GALERKIN METHOD FOR SOLVING A BOUNDARY INTEGRAL EQUATION IN A DOMAIN WITH CORNERS

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2021; 33 (2)

A fast multiscale Galerkin method is proposed for solving the boundary integral equation derived from the Dirichlet problem of the Laplace equation in......

SIMULATION OF AN INTEGRO-DIFFERENTIAL EQUATION AND APPLICATION IN ESTIMATION OF RUIN PROBABILITY WITH MIXED FRACTIONAL BROWNIAN MOTION

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2021; 33 (1)

We consider the numerical solution of one type of integro-differential equation by a probability method based on the fundamental martingale of mixed G......

EXISTENCE RESULTS FOR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (2)

We study the existence and regularity of solutions for neutral integro-differential equations with nonlocal condition by applying the theory of resolv......

TRAVELING WAVE SOLUTIONS FOR A SEIR EPIDEMIC MODEL IN COMBINATION WITH RANDOM DISPERSAL AND NONLOCAL DISPERSAL

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (2)

This paper is devoted to the existence and nonexistence of traveling wave solutions for an SEIR model in combination with random dispersal and nonloca......

REGULARIZATION OF A TERMINAL VALUE NONLINEAR DIFFUSION EQUATION WITH CONFORMABLE TIME DERIVATIVE

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (4)

For an inverse nonlinear diffusion equation with conformable time derivative, we study the ill-posed property in the sense of Hadamard. To obtain a st......

TERMINAL VALUE PROBLEMS OF FRACTIONAL EVOLUTION EQUATIONS

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (3)

Terminal value problems of a class of nonlinear fractional evolution equations with Weyl-Liouville derivative are considered. By using Fourier transfo......

SMOOTHING TRANSFORMATION AND COLLOCATION METHODS FOR THIRD-KIND LINEAR VOLTERRA INTEGRAL EQUATIONS

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (3)

In 2016, Sonia et al. first considered the convergence order for the third-kind linear Volterra integral equations (VIEs) based on the assumption that......

COMPUTING THE NEWTON POTENTIAL IN THE BOUNDARY INTEGRAL EQUATION FOR THE DIRICHLET PROBLEM OF THE POISSON EQUATION

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (3)

Evaluating the Newton potential is crucial for efficiently solving the boundary integral equation of the Dirichlet boundary value problem of the Poiss......

SOLUTIONS OF SECOND-ORDER DEGENERATE EQUATIONS WITH INFINITE DELAY IN BANACH SPACES

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (3)

We consider the well-posedness of the second-order degenerate differential equations with infinite delay. P-2/: (Mu')'(t) + (Lu)'(t) = Au(t) + integra......

AN h-p VERSION OF THE CHEBYSHEV SPECTRAL COLLOCATION METHOD FOR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH VANISHING DELAYS

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (1)

We propose a spectral collocation method based on the Chebyshev-Gauss-Lobatto points for linear Volterra integro-differential equations with vanishing......

NONLOCAL ELLIPTIC VARIATIONAL-HEMIVARIATIONAL INEQUALITIES

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (1)

We examine the existence of a weak solution to a class of variational-hemivariational inequalities governed by a fractional Laplace operator. Moreover......

AN OPTIMIZED FD EXTRAPOLATED SCHEME BASED ON POD FOR THE 2D INTEGRO-DIFFERENTIAL EQUATION OF PARABOLIC TYPE

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2020; 32 (1)

An optimized finite difference (FD) extrapolated scheme for the two-dimensional (2D) integro-differential equation of parabolic type is established by......

ESSENTIAL NORM OF GENERALIZED WEIGHTED COMPOSITION OPERATORS FROM H-infinity TO THE LOGARITHMIC BLOCH SPACE

期刊: JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2019; 31 (1)

In this paper, we give some estimates of the essential norm for generalized weighted composition operators from H-infinity to the logarithmic Bloch sp......

JIF:0.97

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