On the existence of solutions to some nonlinear integrodifferential equations with delays.
Displaying 61 – 80 of 89
On the existence of weak solutions of integral equations in Banach spaces
Dariusz Bugajewski (1994)
Commentationes Mathematicae Universitatis Carolinae
In this paper we investigate weakly continuous solutions of some integral equations in Banach spaces. Moreover, we prove a fixed point theorem which is very useful in our considerations.
On the Functional--integral Equation of Volterra Type With Weakly Singular Kernel
Aldona Dutkiewicz (2008)
Publications de l'Institut Mathématique
On the global solvability of the Cauchy problem for singular functional differential equations.
Kiguradze, I., Sokhadze, Z. (1997)
Georgian Mathematical Journal
On the Hammerstein equation in the space of functions of bounded -variation in the plane
Luis Azócar, Hugo Leiva, Jesús Matute, Nelson Merentes (2013)
Archivum Mathematicum
In this paper we study existence and uniqueness of solutions for the Hammerstein equation in the space of function of bounded total variation in the sense of Riesz, where , and are suitable functions.
On the Hammerstein integral equations in Banach spaces
Janusz Januszewski (1990)
Commentationes Mathematicae Universitatis Carolinae
On the nonexistence of positive solution of some singular nonlinear integral equations.
Nguyen Thanh Long (2006)
Journal of Inequalities and Applications [electronic only]
On the non-exponential decay to equilibrium of solutions of nonlinear scalar Volterra integro-differential equations.
Appleby, John A.D., Reynolds, David W. (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
On the number of solutions of some integral equations arising in radiative transfer.
Argyros, Ioannis K. (1989)
International Journal of Mathematics and Mathematical Sciences
On the oscillation of a Volterra integral equation
Bhagat Singh (1995)
Czechoslovak Mathematical Journal
On the oscillatory properties of the solutions of a class of integro- differential equations of neutral type.
Bainov, D.D., Myshkis, A.D., Zahariev, A.I. (1992)
International Journal of Mathematics and Mathematical Sciences
On the percolation of water from a cylindrical reservoir into the surrounding soil
J. Goncerzewicz, H. Marcinkowska, W. Okrasiński, K. Tabisz (1978)
Applicationes Mathematicae
On the positivity and zero crossings of solutions of stochastic Volterra integrodifferential equations.
Appleby, John A.D. (2010)
International Journal of Differential Equations
On the semilinear integro-differential nonlocal Cauchy problem
Piotr Majcher, Magdalena Roszak (2005)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper, we prove an existence theorem for the pseudo-non-local Cauchy problem , x₀(t₀) = x₀ - g(x), where A is the infinitesimal generator of a C₀ semigroup of operator on a Banach space. The functions f,g are weakly-weakly sequentially continuous and the integral is taken in the sense of Pettis.
On the smoothness of the free boundary in a nonlocal one-dimensional parabolic free boundary value problem
Rossitza Semerdjieva (2015)
Open Mathematics
We consider one-dimensional parabolic free boundary value problem with a nonlocal (integro-differential) condition on the free boundary. Results on Cm-smoothness of the free boundary are obtained. In particular, a necessary and sufficient condition for infinite differentiability of the free boundary is given.
On the stability of numerical methods for nonlinear Volterra integral equations.
Messina, E., Muroya, Y., Russo, E., Vecchio, A. (2010)
Discrete Dynamics in Nature and Society
On the strong stability of a nonlinear Volterra integro-differential system.
Diamandescu, A. (2006)
Acta Mathematica Universitatis Comenianae. New Series
On the structure of -solution sets of integral equations in Banach spaces
Władysław Orlicz, Stanisław Szufla (1984)
Studia Mathematica
On the structure of the set of solutions of a Volterra integral equation in a Banach space
Krzysztof Czarnowski (1994)
Annales Polonici Mathematici
The set of solutions of a Volterra equation in a Banach space with a Carathéodory kernel is proved to be an , in particular compact and connected. The kernel is not assumed to be uniformly continuous with respect to the unknown function and the characterization is given in terms of a B₀-space of continuous functions on a noncompact domain.
On the Urysohn Integral Equation in Locally Convex Spaces
Janusz Januszewski, Stanislaw Szufla (1992)
Publications de l'Institut Mathématique