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On certain new integrable second order nonlinear differential equations and their connection with two dimensional Lotka-Volterra system
arbitrary parameters integrable cases
2010/4/1
In this paper, we consider a second order nonlinear ordinary differential equation of the form
$\ddot{x}+k_1\frac{\dot{x}^2}{x}+(k_2+k_3x)\dot{x}+k_4x^3+k_5x^2+k_6x=0$, where $k_i$'s, $i=1,2,...,6,$...
A CAUCHY PROBLEM FOR ABSTRACT FRACTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Fractional differential equation infinite delay mild solution
2008/11/28
In this paper, we investigate the mild solutions of a Cauchy problem for abstract fractional
differential equations with infinite delay. Several theorems of existence and
uniqueness of mild solution...
NONLOCAL CAUCHY PROBLEM FOR SOME FRACTIONAL ABSTRACT INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES
Fractional abstract integrodifferential equation contraction mapping Krasnoleskii theorem nonlocal conditions
2008/11/28
In this paper we study the existence and uniqueness of solutions for fractional integrodifferential
equations with nonlocal condition in a Banach space. The results
are established by the applicatio...
GROWTH AND OSCILLATION THEORY OF NON-HOMOGENEOUS COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS
Differential equations Order of growth Exponent of convergence of distinct zeros Wiman-Valiron theory
2008/11/26
In this paper, we investigate the growth and the complex oscillation theory of the
linear differential equation f (k)+Ak¡1 f (k¡1)+:::+A1 f 0 +A0 f =F, where A0;A1; :::;
Ak¡1;F 6&a...
ALMOST AUTOMORPHIC SOLUTIONS FOR DISSIPATIVE ORDINARY AND FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
Dissipative differential equations almost periodic compact almost automorphic attractive
2008/11/26
In this work, we investigate the existence and uniqueness of an almost automorphic
solution for some dissipative ordinary and functional differential equations in Banach
spaces. We prove the existen...
SOLUTIONS OF A PAIR OF DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS
Differential equation Entire function Entire solution Uniqueness
2008/11/25
In this paper, we consider the common solutions of a pair of differential equations and
give some of their applications in the uniqueness problem of entire functions.
HILLE TYPE OSCILLATION CRITERIA FOR A CLASS OF FIRST ORDER NEUTRAL PANTOGRAPH DIFFERENTIAL EQUATIONS OF EULER TYPE
Oscillation neutral differential equation unbounded delay positive and negative coefficients
2008/11/25
HILLE TYPE OSCILLATION CRITERIA FOR A CLASS OF FIRST ORDER NEUTRAL PANTOGRAPH DIFFERENTIAL EQUATIONS OF EULER TYPE。
STEPANOV-LIKE PSEUDO ALMOST PERIODIC FUNCTIONS AND THEIR APPLICATIONS TO DIFFERENTIAL EQUATIONS
almost periodic pseudo almost periodic Stepanov-pseudo almost periodicity
2008/11/25
This paper introduces and examines a new class of functions called Stepanov-like
pseudo almost periodic functions (or Sp-pseudo almost periodic functions), which generalizes
in a natural fashion the...
PERIODIC SOLUTIONS OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH TWO PARAMETERS
Fixed point theorem positive periodic solution multiplicity neutral functional differential equations
2008/11/25
In this paper, we establish the existence, multiplicity and nonexistence of periodic
solutions for a class of first-order neutral functional differential equations. Our results
improve the previous ...
OSCILLATION CRITERIA FOR SYSTEMS OF NEUTRAL HYPERBOLIC DIFFERENTIAL EQUATIONS WITH CONTINUOUS DISTRIBUTED DEVIATING ARGUMENTS
Oscillationp system hyperbolic differential equation continuous distributed deviating argument neutral type
2008/11/25
Sufficient conditions are established for oscillation of systems of neutral hyperbolic
differential equations with continuous distributed deviating arguments. The approach
used is to reduce the mult...