Themistocles M Rassias & Panos M Pardalos 
MATHEMATICAL ANALYSIS, DIFFERENTIAL EQUATIONS & APPLICATIONS [EPUB ebook] 

This comprehensive volume presents essential mathematical results devoted to topics of mathematical analysis, differential equations and their various applications. It focuses on differential operators, Wardowski maps, low-oscillation functions, Galois and Pataki connections, Hardy-type inequalities, to name just a few.

Effort has been made for this unique title to have an interdisciplinary flavor and features several applications such as in tomography, elastic scattering, fluid mechanics, etc.

This work could serve as a useful reference text to benefit professionals, academics and graduate students working in theoretical computer science, computer mathematics, and general applied mathematics.

Contents:

• Galois and Pataki Connections on Power Sets (Santanu Acharjee, Michael Th Rassias, and Árpád Száz)


• A Functional Equation Related to Inner Product Spaces in Šerstnev Probabilistic Normed Spaces (Ahmad Alinejad, Hamid Khodaei, Michael Th Rassias, and Hamid Vosoughian)


• Hyers–Ulam–Rassias Stability of Set-Valued Functional Equations: A Fixed Point Approach (H Azadi Kenary)


• Two Heuristic Methods for Solving Generalized Nash Equilibrium Problems Using a Novel Penalty Function (Benjamin Benteke, Monica Gabriela Cojocaru, Roie Fields, Mihai Nica, and Kira Tarasuk)


• The Finite Element Method with Applications to Fluid Mechanics (Kyriaki N Biraki, Konstantina C Kyriakoudi, Anastasios C Felias, and Michail A Xenos)


• Comparison between Two Descent SQP-ADMs for Structured Variational Inequalities (Abdellah Bnouhachem and Themistocles M Rassias)


• Solvability for a Class of Unilateral Contact Problems with Friction and Damage (Oanh Chau, Arnaud Heibig, and Adrien Petrov)


• Vector Inequalities for Analytic Functions of Operators in Hilbert Spaces and Applications for Numerical Radius and p-Schatten Norm (Silvestru Sever Dragomir)


• General Equivariant Minimax Principle and Fountain Theorem in the Presence of Nonadmissible Representations (Lucas Fresse and Viorica V Motreanu)


• On a Prey–Mesopredator–Predator System (D Goeleven and R Oujja)


• Differential Operator Associated with the (q, k)-Symbol Raina’s Function (Rabha W Ibrahim)


• Analysis and Solvability of Complex K-Symbol Liu Fractional Dynamical Systems (Rabha W Ibrahim)


• Elastic Scattering by an Inhomogeneous Medium with Unknown Buried Obstaclesv (Angeliki K Kaiafa, George Kanakoudis, and Vassilios Sevroglou)


• Some New Bounds of Gauss–Jacobi and Hermite–Hadamard-Type Integral Inequalities (Artion Kashuri)


• Payoff-Independent Action Update for Continuous Action Social Dilemmas: A Preliminary Investigation (Ath Kehagias)


• Applying Logarithm Sobolev Inequalities to Probability and Statistics (Christos P Kitsos)


• Some Certain Families of Catalan-Type Numbers and Polynomials: Analysis of Their Generating Function with Their Functional Equations (Irem Kucukoglu and Yilmaz Simsek)


• On the Generalizations of the Cauchy–Schwarz–Bunyakovsky Inequality with Applications to Elasticity (D Labropoulou, T Labropoulos, P Vafeas, and D M Manias)


• Lie Bracket Derivations in Banach Lie Algebras (Jung Rye Lee, Choonkil Park, and Michael Th. Rassias)


• Aboodh Transform and Ulam Stability of Second-Order Linear Differential Equations (Ramdoss Murali, Arumugam Ponmana Selvan, Sanmugam Baskaran, Choonkil Park, and Michael Th Rassias)


• Some Classes of Extended General Variational Inequalities (Muhammad Aslam Noor and Khalida Inayat Noor)


• Biconvex Functions and Bivariational Inequalities (Muhammad Aslam Noor, Khalida Inayat Noor, Michael Th Rassias, and Waseem Asghar Khan)


• Some Properties of a Class of Network Games with Strategic Complements or Substitutes (Mauro Passacantando and Fabio Raciti)


• Chebyshev Polynomials of the First Kind and Applications in Tomography (Nicholas E Protonotarios, Vangelis Marinakis, Nikolaos Dikaios, and George A Kastis)


• Bernstein-Type Polynomials Associated with Characteristic Function, Moment Generating Functions of Beta-Type Distribution and Their Approximation Applications (Yilmaz Simsek and Fusun Yalcin)


• On Removing Diverse Data for Training Machine Learning Models (Kim Thuyen Ton, Daniel Aloise, and Claudio Contardo)


• Wardowski Maps Modeled by Low-Oscillation Functions (Mihai Turinici)


• Contractive Maps on Relational MC-Quasimetric Spaces (Mihai Turinici)


• Hyers–Ulam–Rassias Stability of the Nonlinear Fractional Differential Equations with ρ-Fractional Derivative (Chun Wang)


• Out-of-Plane Equilibrium Points in the Restricted Three-Body Problem with Radiation Pressure, Poynting–Robertson Drag and Angular Velocity Variation (Aguda Ekele Vincent, Angela E Perdiou, and Jagadish Singh)

Readership: Researchers, professionals, academics and graduate students in theoretical computer science, computer maths, and general applied maths.