Nonlinear Hammerstein equations and fixed points.
Nonlinear hyperbolic equations with dissipative temporal and spatial non-local memory.
Nonlinear impulsive Volterra integral equations in Banach spaces and applications.
Nonlinear integrodifferential equations of mixed type in Banach spaces.
Nonlinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition
The aim of the present paper is to investigate the global existence of mild solutions of nonlinear mixed Volterra-Fredholm integrodifferential equations, with nonlocal condition. Our analysis is based on an application of the Leray-Schauder alternative and rely on a priori bounds of solutions.
Nonlinear perturbation of balayage spaces.
Nonlinear singular integral equations involving the Hilbert transform in Clifford analysis.
Nonlinear singular integral inequalities for functions in two and independent variables.
Nonlinear unsteady flow problems by multidimensional singular integral representation analysis.
Nonlinear Volterra Equations With Infinite Delay.
Nonlinear Volterra integral equation of the second kind and biorthogonal systems.
Nonlinear Volterra integral equations in Henstock integrability setting.
Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces.
Nonlocal problem for the hyperbolic system of differential equation of the first order.
Nonlocal quadratic evolution problems
Nonlinear nonlocal parabolic equations modeling the evolution of density of mutually interacting particles are considered. The inertial type nonlinearity is quadratic and nonlocal while the diffusive term, also nonlocal, is anomalous and fractal, i.e., represented by a fractional power of the Laplacian. Conditions for global in time existence versus finite time blow-up are studied. Self-similar solutions are constructed for certain homogeneous initial data. Monte Carlo approximation schemes by interacting...
Nonmonotone nonconvolution functions of positive type and applications
We present two sufficient conditions for nonconvolution kernels to be of positive type. We apply the results to obtain stability for one-dimensional models of chemically reacting viscoelastic materials.
Nonnegative solutions of a class of second order nonlinear differential equations
A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.
Nonnegative solutions of nonlinear integral equations
Existence results of nonnegative solutions of asymptotically linear, nonlinear integral equations are studied.
Non-negative solutions of some non-linear integral equations
Nonnegative solutions of two-point boundary value problems for nonlinear second order integrodifferential equations in Banach spaces.