Results 91 to 100 of about 206,050 (258)

A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application

Journal of Applied Mathematics, 2014
We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
doaj   +1 more source

Floer theory for the variation operator of an isolated singularity

Journal of Topology, Volume 18, Issue 4, December 2025.
Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae, Cheol‐Hyun Cho, Dongwook Choa, Wonbo Jeong   +3 more
wiley   +1 more source

A numerical solution for two-dimensional Fredholm integral equations of the second kind with kernels of the logarithmic potential form [PDF]

Two dimensional Fredholm integral equations with logarithmic potential kernels are numerically solved. The explicit consequence of these solutions to their true solutions is demonstrated.
Gabrielsen, R. E., Uenal, A.
core   +1 more source

On some nonlinear retarded Volterra–Fredholm type integral inequalities on time scales and their applications

Journal of Inequalities and Applications, 2018
In this paper, we establish some new nonlinear retarded Volterra–Fredholm type integral inequalities on time scales. Our results not only generalize and extend some known integral inequalities, but also provide a handy and effective tool for the study of
Haidong Liu
doaj   +1 more source

Gradient Crystal Plasticity Modeling of Laminate Microstructures

GAMM-Mitteilungen, Volume 48, Issue 4, November 2025.
Abstract Metallic materials may show an ultra‐fine lamellar morphology leading to desirable macroscopic mechanical properties. In this paper, an analytical method for modeling the size‐dependent mechanical behavior of material systems with lamellar microstructure is proposed.
Claudius Klein, Thomas Böhlke
wiley   +1 more source

Solving multi-point problem for Volterra-Fredholm integro-differential equations using Dzhumabaev parameterization method

Open Mathematics
In this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A., Assanova Anar T., Kadirbayeva Zhazira M.   +2 more
doaj   +1 more source

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu   +2 more
wiley   +1 more source

A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi   +2 more
wiley   +1 more source

Some Classes of Solutions to the Toda Lattice Hierarchy

, 1996
We apply an analogue of the Zakharov-Shabat dressing method to obtain infinite matrix solutions to the Toda lattice hierarchy. Using an operator transformation we convert some of these into solutions in terms of integral operators and Fredholm ...
Widom, Harold
core   +3 more sources

A note on dual integral equations involving inverse associated Weber-Orr transforms

International Journal of Mathematics and Mathematical Sciences, 1996
We consider dual integral equations involving inverse associated Weber-Orr transforms. Elementary methods have been used to reduce dual integral equations to a Fredholm integral equation of second kind. Some known results are obtained as special case.
Nanigopal Mandal, B. N. Mandal
doaj   +1 more source