Existence Theorems for a Class of Non-linear Integral Equations.
Existence theorems for a variant of Hammerstein's integral equation
Existence Theorems for Lp - Solutions of Integral Equations in Banach Spaces
Existence theory for nonlinear Volterra integral and differential equations.
Existence, uniqueness and successive approximations for a class of integral-functional equations.
Explicit estimates for some mixed integral inequalities.
Extreme solutions of nonlinear, second order integro-differential equations in Banach spaces.
Fixed point theorem and its application to perturbed integral equations in modular function spaces.
Fixed Point Theorems of the Banach and Krasnosel’skii Type for Mappings on -tuple Cartesian Product of Banach Algebras and Systems of Generalized Gripenberg’s Equations
In this paper we prove some fixed point theorems of the Banach and Krasnosel’skii type for mappings on the -tuple Cartesian product of a Banach algebra over . Using these theorems existence results for a system of integral equations of the Gripenberg’s type are proved. A sufficient condition for the nonexistence of blowing-up solutions of this system of integral equations is also proved.
Fredholm alternatives and surjectivity results for multivalued -proper and condensing mappings with applications to nonlinear integral and differential equations
Fredholm type integrodifferential equation on time scales.
Galerkin methods for multidimensional nonlinear Volterra type equations
Galerkin methods for nonlinear Volterra type equations
Generalized Volterra integral equations
Global existence for second-order functional semilinear integrodifferential equations
Global in time solutions to quasilinear telegraph equations involving operators with time delay
The existence of small global (in time) solutions to an abstract evolution equation containing a damping term is proved. The result is then applied to fully nonlinear telegraph equations and to nonlinear equations involving operators with time delay.
Hammerstein equations with an integral over a noncompact domain
The existence of solutions of Hammerstein equations in the space of bounded and continuous functions is proved. It is obtained by the Schauder fixed point theorem using a compactness theorem. The result is applied to Wiener-Hopf equations and to ODE's.
Hammerstein integral equations with indefinite kernel.
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.