Mathematical Analysis in Interdisciplinary Research (Springer Optimization and Its Applications, 179)

Preface
Contents
Quasilinear Operator Equation at Resonance
	1 Introduction
	2 Preliminaries
	3 Existence Theorem
	4 Application
	References
A Control Problem for a System of ODE with Nonseparated Multipoint and Integral Conditions
	1 Introduction
	2 An Analysis of the Problem under Investigation and Obtaining Basic Formulas
	3 Numerical Scheme of Solution to the Problem
	4 Analysis of the Results of the Computational Experiments
	5 Conclusion
	References
On Generalized Convexity and Superquadracity
	1 Introduction
	2 Superquadracity and Generalized ψ-Uniformly Convexity
	3 Reversed and Refined Minkowski Inequality
	References
Well-Posedness of Nonsmooth Lurie Dynamical Systems Involving Maximal Monotone Operators
	1 Introduction
	2 Lurie Systems with Maximal Monotone Operators
	3 Background from Convex and Set-Valued Analysis
	4 Well-Posedness of Nonsmooth Lurie Systems
	References
Numerical Method for Calculation of Unsteady Fluid Flow Regimes in Hydraulic Networks of Complex Structure
	1 Introduction
	2 Statement of the Problem
	3 Numerical Method of the Solution to the Problem
	4 The Results of Numerical Experiments
	5 Conclusion
	References
Numerical Solution to Inverse Problems of Recovering Special-Type Source of a Parabolic Equation
	1 Introduction
	2 Study of the Inverse Problem of Determination a Source Depending on a Space Variable
	3 Study of the Inverse Problem of Determination a Source Depending on a Time Variable
	4 Results of Numerical Experiments
	5 Conclusions
	References
Using an Integrating Factor to Transform a Second Order BVP to a Fixed Point Problem
	1 Introduction
	2 Introducing a Term to Create a New Operator
	3 Application of the New Fixed Point Theorem
	References
Volterra Relatively Compact Perturbations of the Laplace Operator
	1 Introduction
	2 Compact Operators not in the Schatten Classes
	3 Volterra Relatively Compact Perturbations of the Laplace Operator
	References
Computational Aspects of the General Rodrigues Problem
	1 Introduction
	2 A Brief Review on Matrix Functions
	3 The General Rodrigues Problem
	4 Using the Hermite Interpolation Polynomial
		4.1 The Complexity of the Rodrigues Problem
		4.2 The Solution of the Rodrigues Problem When the Eigenvalues have Double Multiplicity
		4.3 Example for n=4 and a0(f)(X)
	References
Approximation by Max-Product Operators of Kantorovich Type
	1 Introduction
	2 Approximation Properties of LKn(M) Deduced from Those of Ln(M)
	3 Max-Product Sampling Kantorovich Operators Based on Fejér Kernel
	4 Max-Product Kantorovich Operators Based on (ϕ, ψ)-Kernels
	5 Max-Product Sampling Kantorovich Operators Based on Generalized Kernels
	6 Future Researches
	References
Variational Inequalities and General Equilibrium Models
	1 Introduction
	2 General Equilibrium Economic Models
	3 Different Variational Inequality Problems
	4 Exchange Economy Model
		4.1 Characterization by Means of a Variational Problem
		4.2 Existence of Equilibria
		4.3 Remark
	5 Model with Nominal Assets
		5.1 Variational Inequality Approach
		5.2 Existence of Equilibrium
	6 Model with Numeraire Assets
	7 Model with Restricted Participation
	References
The Strong Convergence of Douglas-Rachford Methods for the Split Feasibility Problem
	1 Introduction
	2 Preliminaries
	3 Halpern-Type Algorithm
	4 Haugazeau-Type Algorithm
	5 Example Results
	References
Some Triple Integral Inequalities for Functions Defined on Three-Dimensional Bodies Via Gauss-Ostrogradsky Identity
	1 Introduction
	2 Some Preliminary Facts
	3 Identities of Interest
	4 Integral Inequalities
	5 Applications for Three-Dimensional Balls
	References
Optimal Emergency Evacuation with Uncertainty
	1 Introduction
	2 The Deterministic Model
	3 Two-Stage Stochastic Model
	4 Two-Stage Variational Inequality Formulation
	5 Numerical Results
	6 Conclusions
	References
On Global Hyperbolicity of Spacetimes: Some Recent Advances and Open Problems
	1 Introduction to the Terrain
	2 Some Preliminaries
		2.1 A Spell of Domain Theory and General Topology
		2.2 Causal Relations in a Spacetime
		2.3 Weighted Riemannian Manifolds and All That
	3 Globally Hyperbolic Spacetimes
	4 Different Candidates for a Topology: Which Is the Most ``Fruitful'' One?
	5 The Klein–Gordon Equation in Globally Hyperbolic Manifolds
	References
Spectrum Perturbations of Linear Operators in a Banach Space
	1 Introduction
	2 The Quasi-normed Ideal Γp
	3 Particular Cases
		3.1 Absolutely p-Summing Operators
		3.2 Ideal Ep and Absolutely (p, 2)-Summing Operators
	4 Additional Upper Bounds for Determinants
	5 Hille–Tamarkin Integral Operators ``Close'' to Volterra Ones
	6 Hille–Tamarkin Infinite Matrices ``Close'' to Triangular Ones
	7 An Inequality Between Resolvents and Determinants for Nuclear Operators in a Banach Space
	8 Perturbations of Nuclear Operators
	9 Maximal Chains of Projections
	10 Operators Having Continuous Maximal Chains
	11 Norm Estimates for Resolvents
	12 Perturbations of Triangularizable Operators
	13 Powers of Volterra Operators in Lp
		13.1 Hille–Tamarkin Volterra Operators
		13.2 Volterra Operators in L1 and L∞
	14 Triangularizable Operators in Lp
	15 Integral Operators in Lp
		15.1 The Case 1