Proceedings of the Conference on Differential & Difference Equations and Applications

Cover
......Page 1
Title Page......Page 2
Copyright Page......Page 5
Contents......Page 6
Preface......Page 14
A UNIFIED APPROACH TO MONOTONE METHODSFOR NONLINEAR HYPERBOLIC PROBLEMS......Page 16
ON THE INTEGRAL MANIFOLDS OF THE DIFFERENTIALEQUATION WITH PIECEWISE CONSTANT ARGUMENTOF GENERALIZED TYPE......Page 26
IMPULSIVE CONTROL OF THE POPULATION DYNAMICS......Page 36
Lp CONVERGENCE WITH RATES OF SMOOTHPICARD SINGULAR OPERATORS......Page 46
BOUNDARY ESTIMATES FOR BLOW-UP SOLUTIONSOF ELLIPTIC EQUATIONS WITH EXPONENTIAL GROWTH......Page 62
BACKWARD STOCHASTIC VOLTERRA INTEGRALEQUATIONS IN HILBERT SPACES......Page 72
SECOND-ORDER DIFFERENTIAL GRADIENTMETHODS FOR SOLVING TWO-PERSONGAMES WITH COUPLED VARIABLES......Page 82
ON THE EIGENVALUE OF INFINITE MATRICESWITH NONNEGATIVE OFF-DIAGONAL ELEMENTS......Page 96
ON STRUCTURE OF FRACTIONAL SPACES GENERATEDBY THE POSITIVE OPERATORS WITH THE NONLOCALBOUNDARY CONDITIONS......Page 106
WELL-POSEDNESS OF THE NONLOCAL BOUNDARYVALUE PROBLEM FOR ELLIPTIC EQUATIONS......Page 118
ON THE STABILITY OF THE DIFFERENCE SCHEMESFOR HYPERBOLIC EQUATIONS......Page 132
AN EXISTENCE RESULT FOR A CLASS OF SINGULARPROBLEMS WITH CRITICAL EXPONENTS......Page 146
TWO-WEIGHTED POINCARÉ-TYPE INTEGRALINEQUALITIES......Page 156
INVERSE SOURCE PROBLEM FOR THE WAVE EQUATION......Page 164
PRODUCT DIFFERENCE EQUATIONS APPROXIMATINGRATIONAL EQUATIONS......Page 174
ON EXPONENTIAL DICHOTOMY FOR LINEAR DIFFERENCEEQUATIONS WITH BOUNDED AND UNBOUNDED DELAY......Page 184
QUASIDIFFUSION MODEL OF POPULATION COMMUNITY......Page 194
ECONOMIC CONTROL OF EPILEPSY INA GIVEN TIME PERIOD......Page 204
FIXED-SIGN EIGENFUNCTIONS OF TWO-POINT RIGHTFOCAL BOUNDARY VALUE PROBLEMS ON MEASURE CHAIN......Page 216
LOWER BOUND FOR THE EIGENVALUESOF QUASILINEAR HILL’S EQUATION......Page 226
MULTIPLE POSITIVE SOLUTIONS OF SUPERLINEARELLIPTIC PROBLEMS WITH SIGN-CHANGING WEIGHT......Page 236
POSITIVE SOLUTIONS OF SECOND-ORDERBOUNDARY VALUE PROBLEMS......Page 246
SPECTRAL STABILITY OF ELLIPTIC SELFADJOINTDIFFERENTIAL OPERATORS WITH DIRICHLETAND NEUMANN BOUNDARY CONDITIONS......Page 252
MAXIMUM PRINCIPLES FOR THIRD-ORDER INITIALAND TERMINAL VALUE PROBLEMS......Page 262
HO CHARACTERISTIC EQUATIONS SURPASSCONTRADICTIONS OF MODERN MATHEMATICS......Page 272
ON CHEBYSHEV FUNCTIONAL BOUNDS......Page 282
ASYMPTOTIC STABILITY IN DISCRETE MODELSFOR ITEROPAROUS SPECIES......Page 294
MATHEMATICAL ANALYSIS OF FLY FISHING RODSTATIC AND DYNAMIC RESPONSE......Page 302
CONTINUOUS AND DISCRETE NONLINEAR INEQUALITIESAND APPLICATIONS TO BOUNDARY VALUE PROBLEMS......Page 314
OSCILLATION OF HIGHER-ORDER NEUTRAL TYPEFUNCTIONAL DIFFERENTIAL EQUATIONS WITHDISTRIBUTED ARGUMENTS......Page 330
ON PARABOLIC SYSTEMS WITH DISCONTINUOUSNONLINEARITIES......Page 340
ASYMPTOTIC STABILITY FOR A HIGHER-ORDERRATIONAL DIFFERENCE EQUATION......Page 350
INEQUALITIES FOR POSITIVE SOLUTIONS OFTHE EQUATION ˙ y(t)=−ni=1(ai +bi/t)y(t −τi)......Page 356
LOCAL AND GLOBAL ESTIMATES FOR SOLUTIONS TOTHE A-HARMONIC EQUATION AND RELATED OPERATORS......Page 366
NONOSCILLATION OF ONE OF THE COMPONENTSOF THE SOLUTION VECTOR......Page 378
MODULATED POISSON MEASURES ON ABSTRACT SPACES......Page 388
ANNULAR JET AND COAXIAL JET FLOW......Page 398
ON THE GLOBAL BEHAVIOR OF SOLUTIONS TONONLINEAR INVERSE SOURCE PROBLEMS......Page 406
JUSTIFICATION OF QUADRATURE-DIFFERENCE METHODSFOR SINGULAR INTEGRODIFFERENTIAL EQUATIONS......Page 418
EXISTENCE AND MULTIPLICITY RESULTS FORHEMIVARIATIONAL INEQUALITIES......Page 428
VLASOV-ENSKOG EQUATION WITH THERMALBACKGROUND IN GAS DYNAMICS......Page 438
THE RELATIONSHIP BETWEEN KINETIC SOLUTIONSAND RENORMALIZED ENTROPY SOLUTIONSOF SCALAR CONSERVATION LAWS......Page 448
SUBDIFFERENTIAL OPERATOR APPROACH TO THEDIRICHLET PROBLEM OF NONLINEAR DEGENERATEPARABOLIC EQUATIONS......Page 456
A DISCRETE-TIME HOST-PARASITOID MODEL......Page 466
A DISCRETE EIGENFUNCTIONS METHOD FOR NUMERICALSOLUTION OF RANDOM DIFFUSION MODELS......Page 472
THE IMMEDIATE DUALITY AS THE MOST SIMPLE SENSORFOR SOLVING SMOOTH MULTIDISCIPLINARY ELLIPTICPROBLEMS (DOMAIN VARIATION)......Page 482
ON NONLINEAR SCHRÖDINGER EQUATIONS INDUCEDFROM NEARLY BICHROMATIC WAVES......Page 492
VOLTERRA INTEGRAL EQUATION METHOD FORTHE RADIAL SCHRÖDINGER EQUATION......Page 502
NUMERICAL SOLUTION OF A TRANSMISSION LINEPROBLEM OF ELECTRODYNAMICS IN A CLASSOF DISCONTINUOUS FUNCTIONS......Page 516
INHOMOGENEOUS MAPS: THE BASIC THEOREMSAND SOME APPLICATIONS......Page 524
THE SEMILINEAR EVOLUTION EQUATION FOR UNIVERSALCONTINGENT CLAIMS: EXAMPLES AND APPLICATIONS......Page 534
ON NONLINEAR BOUNDARY VALUE PROBLEMSFOR HIGHER-ORDER ORDINARYDIFFERENTIAL EQUATIONS......Page 544
ON DOUBLY PERIODIC SOLUTIONS OF QUASILINEARHYPERBOLIC EQUATIONS OF THE FOURTH ORDER......Page 556
SYMMETRIES OF THE PLANE PLASTICITY SYSTEMWITH A GENERAL YIELD CRITERION......Page 570
DYNAMICS OF A DISCONTINUOUS PIECEWISE LINEAR MAP......Page 580
ASYMPTOTIC ANALYSIS OF TWO COUPLEDREACTION-DIFFUSION PROBLEMS......Page 590
PROBABILISTIC SOLUTIONS OF THE DIRICHLETPROBLEM FOR ISAACS EQUATION......Page 608
ON AN ESTIMATE FOR THE NUMBER OF SOLUTIONSOF THE GENERALIZED RIEMANN BOUNDARYVALUE PROBLEM WITH SHIFT......Page 620
MONOTONICITY RESULTS AND INEQUALITIESFOR SOME SPECIAL FUNCTIONS......Page 630
POSITIVE CHARACTERISTIC VALUES ANDOPTIMAL CONSTANTS FOR THREE-POINTBOUNDARY VALUE PROBLEMS......Page 638
WELL-POSEDNESS AND BLOW-UP OF SOLUTIONS TO WAVEEQUATIONS WITH SUPERCRITICAL BOUNDARY SOURCESAND BOUNDARY DAMPING......Page 650
ON A GENERAL MINIMIZATION PROBLEMWITH CONSTRAINTS......Page 660
REARRANGEMENT ON THE UNIT BALL FOR FUNCTIONSWITH MEAN VALUE ZERO WITH APPLICATIONSTO SOBOLEV AND MOSER INEQUALITIES......Page 670
FAST CONVERGENT ITERATIVE METHODS FOR SOMEPROBLEMS OF MATHEMATICAL BIOLOGY......Page 676
CONVERGENCE OF SERIES OF TRANSLATIONSBY POWERS OF TWO......Page 682
SMOOTH SOLUTIONS OF ELLIPTIC EQUATIONSIN NONSMOOTH DOMAINS......Page 692
ON MINIMAL (MAXIMAL) COMMON FIXED POINTSOF A COMMUTING FAMILY OF DECREASING(INCREASING) MAPS......Page 698
BOUNDEDNESS OF SOLUTIONS OF FUNCTIONALDIFFERENTIAL EQUATIONS WITHSTATE-DEPENDENT IMPULSES......Page 714
MIXED RATIONAL-SOLITON SOLUTIONSTO THE TODA LATTICE EQUATION......Page 726
MODELLING THE EFFECT OF SURGICAL STRESSAND BACTERIAL GROWTH IN HUMAN CORNEA......Page 736
PURELY VECTOR GROUND STATE FOR A NONLINEARNONAUTONOMOUS SCHRÖDINGER SYSTEM......Page 748
LIMIT CYCLES OF LIÉNARD SYSTEMS......Page 758
THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONSAND SOME PROBLEMS IN ECONOMIC DYNAMICS......Page 772
MAXIMUM PRINCIPLES AND DECAY ESTIMATESFOR PARABOLIC SYSTEMS UNDER ROBINBOUNDARY CONDITIONS......Page 782
STOCHASTIC SIS AND SIR MULTIHOST EPIDEMIC MODELS......Page 790
LIPSCHITZ REGULARITY OF VISCOSITY SOLUTIONSIN SOME NONLINEAR PARABOLIC-FREEBOUNDARY PROBLEMS......Page 802
A FOURTH-ORDER BVP OF STURM-LIOUVILLE TYPE WITHASYMMETRIC UNBOUNDED NONLINEARITIES......Page 810
ON AN ELASTIC BEAM FULLY EQUATION WITHNONLINEAR BOUNDARY CONDITIONS......Page 820
REMARKS ON THE STABILITY CROSSING CURVESOF SOME DISTRIBUTED DELAY SYSTEMS......Page 830
BOUNDARY VALUE PROBLEMS ON THE HALF-LINEWITHOUT DICHOTOMIES......Page 840
POSITIVE SOLUTIONS OF SECOND-ORDER DIFFERENTIALEQUATIONS WITH PRESCRIBED BEHAVIOR OFTHE FIRST DERIVATIVE......Page 850
EXISTENCE AND UNIQUENESS OF AN INTEGRALSOLUTION TO SOME CAUCHY PROBLEMWITH NONLOCAL CONDITIONS......Page 858
AN H1-GALERKIN MIXED FINITE ELEMENT METHODFOR LINEAR AND NONLINEAR PARABOLIC PROBLEMS......Page 866
STABILITY OF SOME MODELS OF CIRCULATING FUELNUCLEAR REACTORS—A LYAPUNOV APPROACH......Page 876
INFINITESIMAL FOURIER TRANSFORMATIONFOR THE SPACE OF FUNCTIONALS......Page 886
LIPSCHITZ CLASSES OF A-HARMONIC FUNCTIONSIN CARNOT GROUPS......Page 900
ASYMPTOTIC BEHAVIOR IN STOCHASTIC FUNCTIONALDIFFERENTIAL EQUATIONS OF NEUTRAL TYPE......Page 910
A TWO-DEGREES-OF-FREEDOM HAMILTONIAN MODEL:AN ANALYTICAL AND NUMERICAL STUDY......Page 920
MULTIPLE POSITIVE SOLUTIONS OF SINGULARp-LAPLACIAN PROBLEMS VIA VARIATIONAL METHODS......Page 930
QUANTIZATION OF LIGHT FIELD IN PERIODICDIELECTRICS WITH AND WITHOUT THECOUPLED MODE THEORY......Page 940
ON QUENCHING FOR SEMILINEAR PARABOLIC EQUATIONSWITH DYNAMIC BOUNDARY CONDITIONS......Page 950
CONSERVATION LAWS IN QUANTUM SUPER PDEs......Page 958
SUPERLINEAR MIXED BVP WITH TIMEAND SPACE SINGULARITIES......Page 968
ON SETS OF ZERO HAUSDORFF s-DIMENSIONAL MEASURE......Page 978
FINITE-DIFFERENCES METHOD FOR SOLVING OFFIRST-ORDER HYPERBOLIC-TYPE EQUATIONSWITH NONCONVEX STATE FUNCTION INA CLASS OF DISCONTINUOUS FUNCTIONS......Page 984
ON THE GLOBAL ATTRACTOR IN A CLASSOF DYNAMIC SYSTEMS......Page 994
TYPES OF SOLUTIONS AND MULTIPLICITY RESULTSFOR FOURTH-ORDER NONLINEAR BOUNDARYVALUE PROBLEMS......Page 1004
SANDWICH PAIRS......Page 1014
REGULAR AND SINGULAR DEGENERATE BOUNDARY VALUEPROBLEMS IN BANACH-VALUED FUNCTION SPACES......Page 1024
EXISTENCE RESULTS FOR EVOLUTION INCLUSIONSIN BANACH SPACES......Page 1034
POSITIVE SOLUTIONS OF A CLASS OF SINGULARFUNCTIONAL BOUNDARY VALUE PROBLEMSWITH φ-LAPLACIAN......Page 1044
AVERAGING DOMAINS: FROM EUCLIDEAN SPACESTO HOMOGENEOUS SPACES......Page 1056
ON A BIFURCATION DELAY IN DIFFERENTIAL EQUATIONSWITH A DELAYED TIME 2nπ......Page 1064
CONCENTRATION-COMPACTNESS PRINCIPLEFOR MOUNTAIN PASS PROBLEMS......Page 1070
SCATTERING THEORY FOR A WAVE EQUATIONOF HARTREE TYPE......Page 1076
NONLINEAR VARIATIONAL INCLUSION PROBLEMSINVOLVING A-MONOTONE MAPPINGS......Page 1082
WEIGHTED EXPONENTIAL TRICHOTOMY OF LINEARDIFFERENCE EQUATIONS......Page 1092
MAXIMUM PRINCIPLES FOR ELLIPTIC EQUATIONSIN UNBOUNDED DOMAINS......Page 1102
BAYESIAN FORECASTING IN UNIVARIATEAUTOREGRESSIVE MODELS WITH NORMAL-GAMMAPRIOR DISTRIBUTION OF UNKNOWN PARAMETERS......Page 1114
GLOBAL CONVERGENT ALGORITHM FOR PARABOLICCOEFFICIENT INVERSE PROBLEMS......Page 1124
MULTIPLE POSITIVE RADIAL SOLUTIONSFOR QUASILINEAR EQUATIONSIN ANNULAR DOMAINS......Page 1136
SECOND-ORDER NONLINEAR OSCILLATIONS:A CASE HISTORY......Page 1146
TRIPLE FIXED-SIGN SOLUTIONS FOR A SYSTEMOF THIRD-ORDER GENERALIZED RIGHT FOCALBOUNDARY VALUE PROBLEMS......Page 1154
ANALYTIC SOLUTIONS OF UNSTEADY CRYSTALSAND RAYLEIGH-TAYLOR BUBBLES......Page 1164
TWO-WEIGHT INEQUALITIES FOR SOME OPERATORSAPPLIED TO HARMONIC FORMS......Page 1174
UNBOUNDEDNESS OF SOLUTIONS OF PLANARHAMILTONIAN SYSTEMS......Page 1182
PICONE-TYPE INEQUALITIES FOR A CLASSOF QUASILINEAR ELLIPTIC EQUATIONSAND THEIR APPLICATIONS......Page 1192
QUENCHING OF SOLUTIONS OF NONLINEAR HYPERBOLICEQUATIONS WITH DAMPING......Page 1202
NECESSARY AND SUFFICIENT CONDITIONS FOR THEEXISTENCE OF NONCONSTANT TWICE CONTINUOUSLYDIFFERENTIABLE SOLUTIONS OF x = f (x)......Page 1210
VARIATION-OF-PARAMETERS FORMULAE AND LIPSCHITZSTABILITY CRITERIA FOR NONLINEAR MATRIXDIFFERENTIAL EQUATIONS WITH INITIALTIME DIFFERENCE......Page 1216
MONOTONE TECHNIQUE FOR NONLINEARSECOND-ORDER PERIODIC BOUNDARY VALUEPROBLEM IN TERMS OF TWO MONOTONE FUNCTIONS......Page 1232
DIFFERENCE EQUATIONS AND THE ELABORATIONOF COMPUTER SYSTEMS FOR MONITORING ANDFORECASTING SOCIOECONOMIC DEVELOPMENTOF THE COUNTRY AND TERRITORIES......Page 1246