A multidimensional identification problem related to a hyperbolic integro-differential equation.
A multigrid algorithm for solving the multi-group, anisotropic scattering Boltzmann equation using first-order system least-squares methodology.
A multiplicity result for a system of real integral equations by use of the Nielsen number
We prove an existence and multiplicity result for solutions of a nonlinear Urysohn type equation (2.14) by use of the Nielsen and degree theory in an annulus in the function space.
A new characteristic property of Mittag-Leffler functions and fractional cosine functions
A new characteristic property of the Mittag-Leffler function with 1 < α < 2 is deduced. Motivated by this property, a new notion, named α-order cosine function, is developed. It is proved that an α-order cosine function is associated with a solution operator of an α-order abstract Cauchy problem. Consequently, an α-order abstract Cauchy problem is well-posed if and only if its coefficient operator generates a unique α-order cosine function.
A new convergence rate for the quadrature method for solving singular integral equations
A new definition of viscosity solutions for a class of second-order degenerate elliptic integro-differential equations
A new proof of the support theorem and the range characterization for the Radon transform.
A new theorem on exponential stability of periodic evolution families on Banach spaces.
A Newton-type method and its application.
A nonlinear boundary value problem for a system of hyperbolic partial differential equations.
A nonlinear transmission problem with time dependent coefficients.
A nonlocal coagulation-fragmentation model
A new nonlocal discrete model of cluster coagulation and fragmentation is proposed. In the model the spatial structure of the processes is taken into account: the clusters may coalesce at a distance between their centers and may diffuse in the physical space Ω. The model is expressed in terms of an infinite system of integro-differential bilinear equations. We prove that some results known in the spatially homogeneous case can be extended to the nonlocal model. In contrast to the corresponding local...
A nonlocal parabolic system with application to a thermoelastic problem.
A note on an integral operator involving Legendre functions
A note on Bessel function dual integral equation with weight function.
A note on controllability of nonlinear Volterra integrodifferential systems
A note on dual integral equations involving associated Legendre function.
A note on dual integral equations involving inverse associated Weber-Orr transforms.
A note on integral inclusions in Banach spaces.
A note on nonlinear integral equations