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[PDF] Top 20 On the existence of solutions for a class of first order differential equations

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On the existence of solutions for a class of first order differential equations

On the existence of solutions for a class of first order differential equations

... In this paper, we use the Schauder fixed point theorem [3] to develop an existence theory for problem (1.5), (1.6). Though the basic existence result, Theorem 3.1, is close to a theorem proved by Antosiewicz ... See full document

10

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations

... In the article, the existence and uniqueness of positive solutions for a class of fractional differential equation with nonlinear boundary conditions are discussed. By applying some fixed point ... See full document

19

Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators

Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators

... R is a not necessarily continuous function, satisfying some assumptions to be detailed. Finally, F : C(I) −→ R is assumed to be continuous, but not necessarily linear or bounded. Notice that, under this framework, ... See full document

10

Existence of two positive solutions for a class of second order impulsive singular integro-differential equations on the half line

Existence of two positive solutions for a class of second order impulsive singular integro-differential equations on the half line

... differential equations has been emerging as an important area of investigation in recent years (see ...differential equations, impulsive functional differential equations and impulsive differential ... See full document

23

Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

Existence of solutions for a class of nonlinear higher order fractional differential equation with fractional nonlocal boundary condition

... the existence of solutions for a class of nonlinear higher-order fractional differential equation with fractional nonlocal boundary condition by using the monotone iterative technique based on ... See full document

9

Existence of integro differential solutions for a class of abstract partial impulsive differential equations

Existence of integro differential solutions for a class of abstract partial impulsive differential equations

... functional differential equations we cite [7-17], for applications of impulsive differ- ential equations on biology and neural networks we cite ...fractional differential equations is a ... See full document

19

Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations

Existence, uniqueness, and stability of solutions of a class of nonlinear partial differential equations

... L iapunov 1 s Direct Method for stability has the advantage that it does not r equir e any knowledge of the solution except the knowl edge that i t satisfy a certain differential equatio[r] ... See full document

73

Existence of solutions for a class of operator equations

Existence of solutions for a class of operator equations

... the existence of nontrivial solutions on higher order boundary value problems, see ...new existence theorems on unique, at least one nontrivial and infinitely many solutions were ...the ... See full document

11

Study on the Existence of Sign Changing Solutions of Case Theory Based a Class of Differential Equations Boundary Value Problems

Study on the Existence of Sign Changing Solutions of Case Theory Based a Class of Differential Equations Boundary Value Problems

... sign-changing solutions of A class of second-order differential equa- tions three-point boundary-value problems, and a positive solution and a negative solution are obtained respectively, so ... See full document

6

The existence of solutions of periodic BVP for second order impulsive differential equations

The existence of solutions of periodic BVP for second order impulsive differential equations

... upper solutions and the coincidence degree theory ...the existence of solutions for impulsive differential equation boundary value prob- lems ...the existence of at least one weak solution for ... See full document

9

Existence and Approximate Solutions for Nonlinear Hybrid Fractional Integrodifferential Equations

Existence and Approximate Solutions for Nonlinear Hybrid Fractional Integrodifferential Equations

... of first order quadratic differential equations with ordinary derivative wherein only existence of the solutions is proved using classical hybrid fixed point theorem of Dhage ... See full document

11

Numerical Study of Fractional Differential Equations of Lane Emden Type by Method of Collocation

Numerical Study of Fractional Differential Equations of Lane Emden Type by Method of Collocation

... The class of fractional differential equations of various types plays important roles and tools not only in ma- thematics but also in physics, control systems, dynamical systems and engineering to ... See full document

6

Existence of Solutions to a Viscous Thin Film Equation

Existence of Solutions to a Viscous Thin Film Equation

... a class of fourth order degenerate parabolic equations (see [7]) and the first mathematic result, the existence and nonnegativity of weak solutions, are given by Bernis and ... See full document

8

Multiple solutions for a class of perturbed second-order differential equations with impulses

Multiple solutions for a class of perturbed second-order differential equations with impulses

... dynamic equations is generally thought to provide a natural framework for mathematical modeling of many real world phenomena such as chemother- apy, population dynamics, optimal control, ecology, industrial ... See full document

16

Dhage iteration method for   approximating positive solutions   of   quadratic  functional   differential equations

Dhage iteration method for approximating positive solutions of quadratic functional differential equations

... functional differential equations occur in sev- eral problems of dynamic systems and have been studied in the literature for a long time via functional analytic meth- ...functional differential and ... See full document

13

On a class of third order neutral delay differential equations with piecewise constant argument

On a class of third order neutral delay differential equations with piecewise constant argument

... In this paper we study existence, uniqueness and asymptotic stability the solutions of a class of third order neutral delay differential equations.. piecewise constant argument..[r] ... See full document

5

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation

... the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative ... See full document

12

Existence and approximation of solutions to fractional order hybrid differential equations

Existence and approximation of solutions to fractional order hybrid differential equations

... differential equations are of interest in many areas of applications, such as eco- nomics, signal identification and image processing, optical systems, aerodynamics, bio- physics, thermal system materials and ... See full document

11

EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

... the existence and multiplicity of positive solutions of the system (1)-(2) are equivalent to the existence and multiplicity of fixed points of the operator ... See full document

12

Existence and uniqueness of periodic solutions of second order nonlinear differential equations

Existence and uniqueness of periodic solutions of second order nonlinear differential equations

... odic solutions of nonlinear high-order differential ...the existence of T -periodic solutions for the fol- lowing fourth-order nonlinear differential ... See full document

10

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