Pacific Journal of Applied Mathematics Yearbook. Volume 1


Editor: Zhijun Qiao (University of Texas, Edinburg, TX, USA)

This book presents current research in the field of applied mathematics. Topics discussed include nongauge invariant cubic nonlinear schrodinger equations; geometric aspects of sturm-liouville problems; soliton perturbation theory for the generalized equal width equation; general nonlinear variational-like inequality in reflexive banach spaces; traveling wave solitons of the generalized BBM equation and quarter-plane problems for the kawahara equation.

Table of Contents


Nongauge Invariant Cubic Nonlinear Schrodinger Equations;pp. 1-16
(Nakao Hayashi and Pavel I. Naumkin,Dept. of Mathematics,Osaka University, Toyonaka,Japan and others)

Critical Nonlocal Equations on a Segment with Large Initial Data;pp. 17-41
(Elena I. Kaikina,Instituto de Matematicas,UNAM Campus Morelia, Mexico)

Geometric Aspects of Sturm-Liouville Problems: Arcs of Boundary Conditions for Equalities in Eigenvalue Inequalities;pp. 43-66
(Zhong Wang and Hongyou Wu,Dept. of Mathematics,ZhaoQing University,GuangDong,China and others)

Neumann Problem for the Nonlinear Fractional Heat Equation with Large Initial Data;pp. 67-88
(Felipe Benitez, Rosa E. Cardiel Cervantes and Elena I. Kaikina,Instituto Tecnologico de Morelia, Mexico and others)

On Hilbert’s Type Inequalities on the Weighted Orlicz Spaces;pp. 89-97
(Kuang Jichang and Lokenath Debnath,Dept. of Mathematics,Hunan Normal University,Changsha,People’s Republic of China and others)

Soliton Perturbation Theory for the Generalized Equal Width Equation;pp. 99-104
(Anjan Biswas, Center for Research and Education in Optical Sciences and Applications,Delaware State University,Dover,USA)

Cusp and Smooth Solitons of the Camassa-Holm Equation Under an Inhomogeneous Boundary Condition;pp. 105-121
(Guoping Zhang, Zhijun Qiao and Fengshan Liu,Dept. of Mathematics,The University of Texas-Pan American,Edinburg,TX and others)

Global Solvability for the Cahn-Hilliard Equation in a Disc;pp. 123-146
(Vladimir Varlamov,Dept. of Mathematics,University of Texas-Pan American,Edinburg,TX)

On a General Nonlinear Variational-Like Inequality in Reflexive Banach Spaces;pp. 147-158
(R.K. Bose, Dept. of Mathematics, University of Texas-Pan American,Edinburg,TX)

The Commutator Function of the Free Dirac Field in the Discrete Representation and its Zeros;pp. 159-177
(Ekatherina A. Karatsuba, Dorodnicyn Computing Center of RAS,Moscow,Russia)

Finite-Dimensional Integrable System Related to Generalized Kaup-Newell Spectral Problem;pp. 179-190
(Lin Luo, Engui Fan,School of Mathematics,Fudan University,Shanghai,China and others)

A Multi-Component Lax Integrable Hierarchy With Hamiltonian Structure;pp. 191-197
(Wen-Xiu Ma,Dept. of Mathematics and Statistics,University of South Florida,Tampa,Fl,USA)

A Time Dependent Version of the Quantum WKB Approximation;pp. 199-205
(Paul Bracken,Dept. of Mathematics, University of Texas,Edinburg,USA)

Dynamics of Induced Surfaces in Four-Dimensional Euclidean Space;pp. 207-220
(Paul Bracken,Dept. of Mathematics,University of Texas,Edinburg,USA)

Traveling Wave Solutions of the Generalized BBM Equation;pp. 221-234
(Xian-Lin Yang, Jia-Shi Tang and Zhijun Qiao,College of Mechanics and Aerospace,Hunan University,Changsha,China and others)

Darboux Transformation and Soliton Solutions for a Dirac Hierarchy;pp. 235-247
(Luan Xiao-jie,School of Mathematics,Fudan University,Shanghai,P.R. China)

Dirichlet Initial-Boundary Value Problem for Nonlinear Fractional Equations;pp. 249-272
(Elena I. Kaikina, Leonardo Guardado-Zavala, Hector F. Ruiz-Paredes and J.A. Mendez Navarro, Instituto de Matematicas,UNAM Campus Morelia, Mexico and others )

Quarter-Plane Problem for the Kawahara Equation;pp. 273-298
(Gleb G. Doronin and Nikolai A. Larkin, Matematica, Universidade Estadual de Maringa,Brazil)

Nonlinear Boundary Value Problems for the Second Order
Impulsive Functional Differential Equations;pp. 299-315
(Wei Ding,Juan J. Nieto,Dept. of Mathematics,Shanghai Normal University,China and others)

KdV Equation for the Amplitude of Solitary Rossby Waves in Barotropic Fluids;pp. 317-328
(Yang LianGui, Song Jian, Da ChaoJiu, Zhang HuiQin and Yang HongLi, College of Sciences and Technology, Inner Mongolia University,Hohhot,China and others)

mKdV Equation for the Amplitude of Solitary Rossby Waves in Stratified Fluids;pp. 329-343
(Yang LianGui, Song Jian, Da ChaoJiu, Zhang HuiQin and Yang HongLi,College of Sciences and Technology,Inner Mongolia University,Hohhot,China and others)

Nonlinear Nonlocal Schrodinger Type Equations on a Segment With a Source;pp. 345-365
(Isahi Sanchez Suarez,Instituto de Matematicas,UNAM Campus Morelia,Mexico)

B.O. Koopman and J. von Neumann Theorem Extended to Densities;pp. 367-379
(N. Daili,22, Rue Zaabat Ramdane,C.Y. Setif,Algeria)

Multiple Solutions of Nonlinear Elliptic Hemivariational Problems;pp. 381-401
(Siegfried Carl and Dumitru Motreanu,Institut fur Mathematik,Martin-Luther-Universitat Halle-Wittenberg,Germany)

A Note on r-Matrix of the Peakon Dynamics;pp. 403-407
(Zhijun Qiao,Dept. of Mathematics,The University of Texas Pan-American,Edinburg,USA)

The Time Fractional Diffusion and Wave Equations in an N-Dimensional Half Space with Mixed Boundary Conditions;pp. 409-419
(F.Huang and F.Liu,School of Mathematics Sciences,South China University of Technology,Gangzhou and others)

Sturm-Liouville Problems with Limit-Circle End Points: I. Structures on Spaces of Problems and Their Applications;pp. 421-447
(Zhong Wang and Hongyou Wu,Dept. of Mathematics,ZhaoQing University,GuangDong,China and others)


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