Results 51 to 60 of about 208,946 (296)
On a discussion of Volterra–Fredholm integral equation with discontinuous kernel
, 2020 The purpose of this paper is to establish the general solution of a Volterra–Fredholm integral equation with discontinuous kernel in a Banach space. Banach’s fixed point theorem is used to prove the existence and uniqueness of the solution.
M. A. Abdou, A. Soliman, M. Abdel-Aty
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Numerical methods for stochastic Volterra integral equations with weakly singular kernels [PDF]
IMA Journal of Numerical Analysis, 2020 In this paper we first establish the existence, uniqueness and Hölder continuity of the solution to stochastic Volterra integral equations (SVIEs) with weakly singular kernels, with singularities $\alpha \in (0, 1)$ for the drift term and $\beta \in (0,
Min Li, Chengming Huang, Yaozhong Hu
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On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation
Abstract and Applied Analysis, 2014 We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear ...
H. S. Mamba, M. Khumalo
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On a pseudo-Volterra nonhomogeneous integral equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 In this paper the issues of the solvability of a pseudo-Volterra nonhomogeneous integral equation of the second kind are studied. The solution to the corresponding homogeneous equation and the classes of the uniqueness of the solution are found in [1 ...
M.T. Kosmakova +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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On a nonstandard Volterra type dynamic integral equation on time scales [PDF]
, 2009 The main objective of the present paper is to study some basic qualitative properties of solutions of a nonstandard Volterra type dynamic integral equation on time scales.
Pachpatte, Deepak
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An Engineered Probiotic Consortium Based on Quorum‐Sensing for Colorectal Cancer Immunotherapy
Advanced Science, EarlyView.This work develops an engineered probiotic consortium sensing pH, hypoxia, and lactate in the tumor microenvironment. It releases a lactate‐depleting enzyme (LdhA) and a PD‐L1 nanobody. In humanized mouse models (MC38 and HT‐29 tumors), it achieves durable oscillations, suppresses tumors, activates CD8+, CD4+, IFN‐γ+ T cells, and reduces Foxp3 ...
Yufei Guo +11 more
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Abstract and Applied Analysis, 2014 Some linear and nonlinear Gamidov type integral inequalities in two variables are established, which can give the explicit bounds on the solutions to a class of Volterra-Fredholm integral equations.
Kelong Cheng, Chunxiang Guo
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Optimal Control Problems of Forward-Backward Stochastic Volterra Integral Equations [PDF]
, 2014 Optimal control problems of forward-backward stochastic Volterra integral equations (FBSVIEs in short) are formulated and studied. A general duality principle is established for linear backward stochastic integral equation and linear stochastic Fredholm ...
Shi, Yufeng +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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