Nonlinear Analysis and Boundary Value Problems: NABVP 2018, Santiago de Compostela, Spain, September 4-7 (Springer Proceedings in Mathematics & Statistics)

Preface
Contents
About the Editors
A Variational Analogue of Krasnoselskii's Cone Fixed Point Theory
	1 Introduction
	2 Variational Analogue of the Compression Krasnoselskii's Cone Fixed Point Theorem
	3 Variational Analogue of the Expansion Krasnoselskii's Cone Fixed Point Theorem
	4 A General Scheme of Application to Semilinear Equations
	References
Differentiability Properties of Solutions of a Second-Order Evolution Inclusion
	1 Introduction
	2 Preliminaries
	3 The Main Results
	References
How to Analytically Prove the Existence of Strange Attractors Using Measure Theory
	1 Introduction
	2 The Family mathbbF of Expanding Baker Maps
	3 Preliminary Results
	4 A Sketch of the Proof of Theorem 1.2
	5 Proof of Corollary 1.3
	References
Initial Problems for Semilinear Degenerate Evolution Equations of Fractional Order in the Sectorial Case
	1 Introduction
	2 Nondegenerate Equation
		2.1 Linear Equation
		2.2 Semilinear Equation
	3 Degenerate Equations
		3.1 Resolving Operators Families
		3.2 Degenerate Inhomogeneous Linear Equation
		3.3 Degenerate Semilinear Equations
	4 Application to a Class of Initial-Boundary Value Problems
	References
Solvability for nth Order Coupled Systems with Full Nonlinearities
	1 Introduction
	2 Definitions and Preliminaries
	3 Main Result
	4 Lorentz-Lagrangian System Model
	5 Coupled System of Two Korteweg-De Vries (KdV) Equations
	References
Semilinear Equations in Banach Spaces with Lower Fractional Derivatives
	1 Introduction
	2 Equations Solved with Respect to the Highest Derivative
		2.1 Linear Equation
		2.2 Semilinear Equation
		2.3 Application
	3 Degenerate Equations
		3.1 Example
	References
Integral Boundary Value Problem for Intuitionistic Fuzzy Partial Hyperbolic Differential Equations
	1 Introduction
	2 Preliminaries
	3 Existence and Uniqueness
	4 Solving Intuitionistic Fuzzy PHDEs with Integral Boundary Conditions
	5 Application
	6 Conclusion
	References
On the Periodic Ricker Equation
	1 Introduction
	2 Some Useful Tools in One-Dimensional Dynamics
	3 Periodic Ricker Family
	References
The Stability of Vortices in Gas on the l-Plane: The Influence of Centrifugal Force
	1 Reduction of 3D Primitive Equations of the Atmosphere Dynamics to the l-Plane Model
	2 Motion with Uniform Deformation: Steady States  and Their Stability
		2.1 δ = 0
		2.2 δ=1, s=1
		2.3 δ=1, s=sinθ
	3 Study of System (7), (8) in the Lagrangian Coordinates
		3.1 First Integrals
		3.2 Representation of Solution
	4 Discussion
	References
Results for Fractional Differential Equations with Integral Boundary Conditions Involving the Hadamard Derivative
	1 Introduction
	2 Preliminaries
	3 An Existence, Uniqueness and Location Result
	4 Example
	References
A Nonlinear Problem Related to Artificial Circulation in a Lake
	1 The Environmental Problem
	2 Mathematical Formulation of the Problem
	3 Mathematical Analysis of the Problem
	References
The Fučík Spectrum as Two Regular Curves
	1 Introduction
	2 Preliminaries
	3 Implicit Description of the Fučík Spectrum for α,β> 0
	4 The Fučík Spectrum as Parametrized Curves
	References
Duffing Equation with Nonlinearities Between Eigenvalues
	1 Introduction
	2 Preliminaries
	3 Existence Theorem
	References
Comparison and Uniqueness Results  for the Periodic Boundary Value Problem  for Linear First-Order Differential Equations Subject to a Functional Perturbation
	1 Introduction
	2 General Comparison Result
	3 Particular Cases
		3.1 Retarded Functional Differential Equations
		3.2 Minimum Case
		3.3 Integral Case
	4 Generalization of Theorem 1
	5 Nonnegativity of Solutions
		5.1 Retarded Functional Differential Equations
		5.2 Maximum Case
		5.3 Integral Case
	6 Uniqueness of Solution
	References
Time-Fractional Optimal Control of Initial Value Problems on Time Scales
	1 Introduction
	2 Preliminaries
		2.1 Time-Scale Essentials
		2.2 Fractional Derivative and Integral on Time Scales
		2.3 Properties of the Time-Scale Fractional Operators
		2.4 Existence of Solutions to Fractional IVPs on Time Scales
	3 Main Results
		3.1 Fractional Integration by Parts on Time Scales
		3.2 Nonlinear Riemann–Liouville FOCPs on Time Scales
		3.3 An Illustrative Example
	4 Conclusion
	References
Relationship Between Green's Functions for Even Order Linear Boundary Value Problems
	1 Introduction
	2 Preliminary Results
	3 Decomposing Green's Functions
		3.1 Neumann Problem
		3.2 Dirichlet Problem
		3.3 Mixed Problems
		3.4 Connecting Relations Between Different Problems
	4 Decomposition of the Spectra
	5 Constant Sign of Green's Functions
	6 Comparison Principles
	References
Random Evolution Equations with Bounded Fractional Integral-Feedback
	1 Introduction
	2 Abstract Setting and Augmented Model
	3 Well-Posedness
	4 Random Stabilization
	5 Applications
		5.1 Heat Equation with Fractional Integral Damping
		5.2 Integral Fractional Damped Random Wave Equation
	References