Results 101 to 110 of about 502,735 (301)

On integro-differential equations in Banach spaces [PDF]

open access: yesPacific Journal of Mathematics, 1967
INTEGRO-DIFFERENTIAL EQUATIONS 101 2* Existence and uniqueness of a strong solution of the homogeneous problem (I)* Let A be a closed linear operator on a Banach space X to itself with domain &(A) dense in 36 and let @(3£) be the Banach algebra of all bounded linear transformations on X to itself.
openaire   +3 more sources

On oscillation of integro-differential equations

open access: yesTURKISH JOURNAL OF MATHEMATICS, 2018
We study the oscillatory behavior of solutions for integro-differential equations of the form $$x'(t) = e(t) -\int_0^t (t-s)^{\alpha-1}k(t, s)f(s, x(s))\, {\rm ds},\quad t\geq 0,$$ where ...
Agacik Zafer, Said R. Grace
openaire   +2 more sources

Optimal control of axial dispersion tubular reactors with recycle: Addressing state‐delay through transport PDEs

open access: yesThe Canadian Journal of Chemical Engineering, Volume 103, Issue 8, Page 3751-3766, August 2025.
The boundary‐regulated distributed parameter system of an axial dispersion tubular reactor with delayed recycle is showcased, along with the optimal observer‐based control strategy developed using a late‐lumping method for its stabilization. Abstract The optimal control of an axial tubular reactor with a recycle stream is addressed as a key type of ...
Behrad Moadeli   +2 more
wiley   +1 more source

On the existence of solutions of a three steps crisis integro-differential equation

open access: yes, 2018
There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation.
D. Baleanu   +3 more
semanticscholar   +1 more source

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha   +2 more
wiley   +1 more source

Studies on Fractional Differential Equations With Functional Boundary Condition by Inverse Operators

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11161-11170, 30 July 2025.
ABSTRACT Fractional differential equations (FDEs) generalize classical integer‐order calculus to noninteger orders, enabling the modeling of complex phenomena that classical equations cannot fully capture. Their study has become essential across science, engineering, and mathematics due to their unique ability to describe systems with nonlocal ...
Chenkuan Li
wiley   +1 more source

Statistics of non-linear stochastic dynamical systems under L\'evy noises by a convolution quadrature approach

open access: yes, 2011
This paper describes a novel numerical approach to find the statistics of the non-stationary response of scalar non-linear systems excited by L\'evy white noises.
Cottone G Di Paola M Marino F   +14 more
core   +1 more source

Chromoelectric oscillations in a dynamically evolving anisotropic background

open access: yes, 2012
We study the oscillations of a uniform longitudinal chromoelectric field in a dynamically-evolving momentum-space anisotropic background in the weak field limit.
K. Huang   +3 more
core   +2 more sources

Solusi Polinomial Persamaan Integro-diferensial Fredholm Linear dengan Koefisien Konstan [PDF]

open access: yes, 2015
This paper discusses how to obtain a polynomial solution of linear Fredhlom integrodifferential equation with constant coefficients using a matrix method.
Syamsudhuha, S. (Syamsudhuha)   +2 more
core  

Gevrey regularity for integro-differential operators

open access: yes, 2015
We prove for some singular kernels $K(x,y)$ that viscosity solutions of the integro-differential equation $\int_{\mathbb{R}^n} \left[u(x+y)+u(x-y)-2u(x)\right]\,K(x,y)dy=f(x)$ locally belong to some Gevrey class if so does $f$.
Albanese, Guglielmo   +2 more
core   +1 more source

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