A Liapunov functional for a linear integral equation.
A nonlinear boundary value problem for a system of hyperbolic partial differential equations.
A shooting method for singular nonlinear second order Volterra integro-differential equations.
A stability result for a class of nonlinear integrodifferential equations with L¹ kernels
We study second order nonlinear integro-differential equations in Hilbert spaces with weakly singular convolution kernels obtaining energy estimates for the solutions, uniform in t. Then we show that the solutions decay exponentially at ∞ in the energy norm. Finally, we apply these results to a problem in viscoelasticity.
An integral equation in conformal geometry
An Integral Inequality Similar to Bellman-Bihari inequality
Approximate solution of a certain class of nonlinear singular integral equations.
Asymptotic stability of the extended Tjon-Wu model.
Closed-form solution of a singular nonlinear integral equation
Differential and Integral Equations [Book]
Error bound analysis and singularly perturbed Abel-Volterra equations.
Existence and uniqueness for non-linear singular integral equations used in fluid mechanics
Non-linear singular integral equations are investigated in connection with some basic applications in two-dimensional fluid mechanics. A general existence and uniqueness analysis is proposed for non-linear singular integral equations defined on a Banach space. Therefore, the non-linear equations are defined over a finite set of contours and the existence of solutions is investigated for two different kinds of equations, the first and the second kind. Moreover, the existence of solutions is further...
Existence and upper semicontinuity of global attractors for neural fields in an unbounded domain.
Existence of solutions for a class of quasi-linear singular integro-differential equations in a Sobolev space.
Existence of Solutions for a Class of Quasi-Linear Singular Integro-Differential Equations
2000 Mathematics Subject Classification: 45F15, 45G10, 46B38.An existence theorem is proved for a class of quasi-linear singular integro-differential equations with Cauchy kernel.
Existence results for non-linear singular integral equations with Hilbert kernel in Banach spaces
A class of non-linear singular integral equations with Hilbert kernel and a related class of quasi-linear singular integro-differential equations are investigated by applying Schauder's fixed point theorem in Banach spaces.
Fredholm alternatives and surjectivity results for multivalued -proper and condensing mappings with applications to nonlinear integral and differential equations
Hammerstein–Nemytskii Type Nonlinear Integral Equations on Half-line in Space
The paper studies a construction of nontrivial solution for a class of Hammerstein–Nemytskii type nonlinear integral equations on half-line with noncompact Hammerstein integral operator, which belongs to space . This class of equations is the natural generalization of Wiener-Hopf type conservative integral equations. Examples are given to illustrate the results. For one type of considering equations continuity and uniqueness of the solution is established.
High accuracy combination method for solving the systems of nonlinear Volterra integral and integro-differential equations with weakly singular kernels of the second kind.
Homoclinic orbit solutions of a one dimensional Wilson-Cowan type model.