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Titlebook: Linear and Nonlinear Integral Equations; Methods and Applicat Abdul-Majid Wazwaz Book 2011 Higher Education Press, Beijing and Springer-Ver

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發(fā)表于 2025-3-21 17:43:15 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Linear and Nonlinear Integral Equations
副標(biāo)題Methods and Applicat
編輯Abdul-Majid Wazwaz
視頻videohttp://file.papertrans.cn/587/586465/586465.mp4
概述Comprehensively and systematically treats linear and nonlinear integral equations.Makes materials on the linear and nonlinear integral equations accessible without depending heavily on abstract theore
圖書(shū)封面Titlebook: Linear and Nonlinear Integral Equations; Methods and Applicat Abdul-Majid Wazwaz Book 2011 Higher Education Press, Beijing and Springer-Ver
描述.Linear and Nonlinear Integral Equations: Methods and Applications. is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants..?.This book is intended for scholars and researchers in the fields of physics, applied mathematics and engine
出版日期Book 2011
關(guān)鍵詞linear and nonlinear Fredholm equations; linear and nonlinear Volterra equations; linear and nonlinear
版次1
doihttps://doi.org/10.1007/978-3-642-21449-3
isbn_ebook978-3-642-21449-3
copyrightHigher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg 2011
The information of publication is updating

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Introductory Concepts of Integral Equationsof integral equation in . is of the form . where . and . are the limits of integration, λ is a constant parameter, and . is a known function, of two variables . and ., called the . or the . of the integral equation. The unknown function . that will be determined appears inside the integral sign. In
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Fredholm Integral Equationscan be derived from boundary value problems. Erik Ivar Fredholm (1866– 1927) is best remembered for his work on integral equations and spectral theory. Fredholm was a Swedish mathematician who established the theory of integral equations and his 1903 paper in . played a major role in the establishme
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Fredholm Integro-Differential Equationsd in a new specific topic, where both differential and integral operators appeared together in the same equation. This new type of equations, with constant limits of integration, was termed as Fredholm integro-differential equations, given in the form . where .. Because the resulted equation in (6.1
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Abel’s Integral Equation and Singular Integral Equationsscattering, radar ranging, plasma diagnostics, X-ray radiography, and optical fiber evaluation. Abel’s integral equation is the earliest example of an integral equation [2]. In Chapter 2, Abel’s integral equation was defined as a singular integral equation. Volterra integral equations of the first k
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