Results 111 to 120 of about 3,098,473 (292)
Uniform Asymptotic Stability of a PDE'S System Arising From a Flexible Robotics Model
Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11242-11251, 30 July 2025.ABSTRACT In this paper, we investigate the uniform asymptotic stability of a fourth‐order partial differential equation with a fading memory forcing term and boundary conditions arising from a flexible robotics model. To achieve this goal, the model is reformulated in an abstract framework using the C0$$ {C}_0 $$‐semigroup theory.
Tiziana Cardinali +2 more
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Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling
Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10533-10543, 15 July 2025.ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky +3 more
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On a nonlinear Volterra integral equation
Journal of Differential Equations, 1973 Also note the comments. made on (1.1) in [2]. More recently Eq. (1.1) has been analyzed in [I and 31 under hypotheses related to those of Theorem I. Comparing the present result with the results of [3] we observe the following. In addition to the full hypothesis of Theorem 1 above, certain smoothness conditions were imposed on a(t) and f(i) in [3 ...
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10550-10570, 15 July 2025.ABSTRACT Bacteriophages, or phages (viruses of bacteria), play significant roles in shaping the diversity of bacterial communities within the human gut. A phage‐infected bacterial cell can either immediately undergo lysis (virulent/lytic infection) or enter a stable state within the host as a prophage (lysogeny) until a trigger event, called prophage ...
Hyacinthe M. Ndongmo Teytsa +3 more
wiley +1 more source
Stability by decompositions for Volterra equations
Tohoku Mathematical Journal, 1985 The stability of the zero solution of the integro-differential equation \(\dot x(\)t)\(=A(t)x(t)+\int^{t}_{0}C(t,s)x(s)ds\), \(x(t)\in {\mathbb{R}}^ n\), is studied. A number of Ljapunov functionals is constructed for a modified version of this equation yielding sufficient conditions for instability, stability and asymptotic stability.
Burton, Theodore Allen +1 more
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Solution of boundary value problems for batteries: Operator‐theoretic methods
AIChE Journal, Volume 71, Issue 7, July 2025.Abstract Batteries with porous electrodes of negligible ionic and electronic conduction resistance are modeled with reaction‐diffusion equations in multilayered media. The classical separation of variables becomes inapplicable to battery problems because of nonlinearities in reaction rates and constraints of imposed current. A linear operator‐theoretic
Doraiswami Ramkrishna +1 more
wiley +1 more source
Advances in Differential Equations, 2019 Volterra integro-differential equations arise in the modeling of natural systems where the past influence the present and future, for example pollution, population growth, mechanical systems and financial market. Furthermore, as many real-world phenomena
S. Khan, M. Ali, Ishtiaq Ali
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A method for solving nonlinear Volterra integral equations of the second kind [PDF]
, 1969 Peter Linz
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A New Application of Shehu Transform for Handling Volterra Integral Equations of First Kind
International Journal of Research in Advent Technology, 2019 Many problems of thermodynamics, nuclear reactor theory, chemotherapy and electrical systems have been described in the form of Volterra integral equations.
Sudhanshu Aggarwal +2 more
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On the linearization of Volterra integral equations
Journal of Mathematical Analysis and Applications, 1968 Volterra integral equations linearization, discussing integral kernels, integrodifferential equations and reactor ...
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