Results 61 to 70 of about 1,093 (183)
On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces
Abstract and Applied Analysis, 2012 We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved.
Tran Dinh Ke +3 more
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On the Existence of A Unique Solution for Nonlinear Ordinary Differential Equations of Order m
مجلة المختار للعلوم, 2015 In this work I state and prove a theorem for local existence of a unique solution for the Nonlinear Ordinary Differential Equations (NODE): (1) of order m; where m is a positive integer; having the ...
Abdussalam A. Bojeldain
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On nonlinear equations of Hammerstein type in Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1971 A new theorem on the existence and uniqueness of a solution of an equation of Hammerstein type u + T N
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1831-1918, August 2026.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
On Solutions of the Nonlocal Generalized Coupled Langevin-Type Pantograph Systems
Journal of MathematicsThis paper concentrates on the analysis of a category of coupled Langevin-type pantograph differential equations involving the generalized Caputo fractional derivative with nonlocal conditions.
Houari Bouzid +4 more
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MathematicsThis paper investigates a class of implicit neutral fractional integro-differential equations of Volterra–Fredholm type. The equations incorporate a tempered fractional derivative in the Caputo sense, along with both retarded (delay) and advanced ...
Abdulrahman A. Sharif, Muath Awadalla
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Abstract and Applied Analysis, 2013 Newton-Kantorovich and Smale uniform type of convergence theorem of a deformed Newton method having the third-order convergence is established in a Banach space for solving nonlinear equations.
Rongfei Lin +4 more
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Extremal Solutions of Nonlinear Impulsive Integrodifferential Equations in Banach Spaces
Journal of Mathematical Analysis and Applications, 1993 The authors utilize the monotone iterative technique with fixed point theory to investigate the extremal solutions of nonlinear impulsive integro-differential equations in Banach spaces. Existence criteria are obtained and several examples are worked out to illustrate the results.
Guo, D.J., Liu, X.Z.
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Nonlinear perturbations and abstract evolution equations in general banach spaces [PDF]
Annali di Matematica Pura ed Applicata, 1976 Part I deals with the problem of determining sufficient conditions under which the sum of two m-accretive operators on a closed convex set Q1 is m-accretive on Q1. Part II is concerned with the initial value problem: u′+Au+g(u)=v, u(0)=u0. Applications are given to the Boltzmann equation.
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Local Convergence of Jarratt-Type Methods with Less Computation of Inversion Under Weak Conditions
Mathematical Modelling and Analysis, 2017 We present a local convergence analysis for Jarratt-type methods in order to approximate a solution of a nonlinear equation in a Banach space setting. Earlier studies cannot be used to solve equations using such methods.
Ioannis K. Argyros, Santhosh George
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