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Edited by Bruno Carpentieri

Free University of Bozen-Bolzano,borwab

Nonlinear differential equations are ubiquitous in computational science and engineering modeling, fluid dynamics, finance, and quantum mechanics, among other areas. Nowadays, solving challenging problems in an industrial setting requires a continuous interplay between the theory of such systems and the development and use of sophisticated computational methods that can guide and support the theoretical findings via practical computer simulations. Owing to the impressive development in computer technology and the introduction of fast numerical methods with reduced algorithmic and memory complexity, rigorous solutions in many applications have become possible. This book collects research papers from leading world experts in the field, highlighting ongoing trends, progress, and open problems in this critically important area of mathematics.,cum on

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Recent Developments in the Solution of Nonlinear Differential EquationsEdited by Bruno Carpentieri

Published: September 8th 2021

ISBN: 978-1-83968-657-3,indian-sex

Print ISBN: 978-1-83968-656-6,planet suzy

eBook (PDF) ISBN: 978-1-83968-658-0,69xxx

Copyright year: 2021,porno casero

chaptersDownloads

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1. Using the Boundary Element Method to Simulate Visco-Elastic Deformations of Rough Fractures

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101

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2. Asymptotic Behavior by Krasnoselskii Fixed Point Theorem for Nonlinear Neutral Differential Equations with Variable Delays

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69

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3. Spectral Properties of a Non-Self-Adjoint Differential Operator with Block-Triangular Operator Coefficients

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4. Deformed Sine-Gordon Models, Solitons and Anomalous Charges

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92

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5. Continuous One Step Linear Multi-Step Hybrid Block Method for the Solution of First Order Linear and Nonlinear Initial Value Problem of Ordinary Differential Equations

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6. Existence and Asymptotic Behaviors of Nonoscillatory Solutions of Third Order Time Scale Systems

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73

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7.Global Existence of Solutions to a Class of Reaction–Diffusion Systems onRn

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52

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8. The Fourier Transform Method for Second-Order Integro-Dynamic Equations on Time Scales

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9. Effect of Additive Perturbations on the Solution of Reflected Backward Stochastic Differential Equations

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10. On Some Important Ordinary Differential Equations of Dynamic Economics

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11. Multiple Solutions for Some Classes Integro-Dynamic Equations on Time Scales

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12. Solution of Nonlinear Partial Differential Equations by Mixture Adomian Decomposition Method and Sumudu Transform

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129

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13. Positive Periodic Solutions for First-Order Difference Equations with Impulses

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14. Peculiarities of the Fundamental Solution of Parabolic Systems with a Negative Genus

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15. Boundary Element Modeling and Simulation Algorithm for Fractional Bio-Thermomechanical Problems of Anisotropic Soft Tissues

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16. Solving Second-Order Differential Equations by Decomposition

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17. The Uniformly Parabolic Equations of Higher Order with Discontinuous Data in Generalized Morrey Spaces and Elliptic Equations in Unbounded Domains

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18. Gradient Optimal Control of the Bilinear Reaction–Diffusion Equation

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19. Boundary Element Method for the Mixed BBM-KdV Equation Compared to Non Standard Boundary Conditions

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20. On the Generalized Simplest Equations: Toward the Solution of Nonlinear Differential Equations with Variable Coefficients

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21. Thermodynamic Stability Conditions as an Eigenvalues Fundamental Problem

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128

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