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[PDF] Top 20 Existence of solutions of first-order differential equations via a fixed point theorem for discontinuous operators

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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

... extremal solutions of ...of Theorem .. By extremal solutions we mean a pair of solutions x ∗ and x ∗ (possibly identical) such that any other solution x of ... See full document

10

Schauder’s fixed-point theorem: new applications and a new version for discontinuous operators

Schauder’s fixed-point theorem: new applications and a new version for discontinuous operators

... fixed-point theorem, which applies for continuous operators, is used in this paper, perhaps unexpectedly, to prove existence of solutions to discontinuous ...Schauder’s ... See full document

14

Approximating Solutions of Nonlinear Abstract Measure First Order Differential Equations via Hybrid Fixed Point Theory

Approximating Solutions of Nonlinear Abstract Measure First Order Differential Equations via Hybrid Fixed Point Theory

... the solutions of a nonlinear equation beginning with a lower or an upper solution of the equation as its initial or first approximation” and which is powerful ...the existence theory of nonlinear ... See full document

10

Transformation technique, fixed point theorem and positive solutions for second order impulsive differential equations with deviating arguments

Transformation technique, fixed point theorem and positive solutions for second order impulsive differential equations with deviating arguments

... the existence of positive solutions for the above problem by using transformation technique and Krasnosel’skii’s fixed point ...fixed point theorem for cones are applied to ... See full document

20

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

... fixed point theorem [3] to develop an existence theory for problem ...basic existence result, Theorem 3.1, is close to a theorem proved by Antosiewicz [1], numerous variations and ... See full document

10

Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay

Existence results of solutions for some fractional neutral functional integro-differential equations with infinite delay

... the existence theory of solutions for fractional functional differential equations with infinite delay is increasing as a necessary district of scholarships ...as, fixed point ... 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

... the fixed point theorem under the case structure, we study the exis- tence of sign-changing solutions of A class of second-order differential equa- tions three-point ... See full document

6

Fixed Points of Discontinuous Multivalued Operators in Ordered Spaces with Applications

Fixed Points of Discontinuous Multivalued Operators in Ordered Spaces with Applications

... “Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming,” ... See full document

13

Existence Results on General Integrodifferential Evolution Equations in Banach Space

Existence Results on General Integrodifferential Evolution Equations in Banach Space

... integrodifferential equations by using re- solvent ...integrodifferential equations with nonlocal ...functional differential equation with time varying ...the existence of differential ... See full document

6

Existence of periodic solutions for first-order delay differential equations via critical point theory

Existence of periodic solutions for first-order delay differential equations via critical point theory

... periodicity theorem for autonomous functional differential ...The existence of periodic solutions of f (x) = –af(x – 1)[1 + ...Periodic solutions of some nonlinear autonomous functional ... See full document

13

Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

Existence and Uniqueness Results for Perturbed Neumann Boundary Value Problems

... a fixed point theorem of general α-concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions for two classes of ... See full document

10

Vol 7, No 10 (2016)

Vol 7, No 10 (2016)

... The rest of this paper is organized as follows. In section 2, we give some preliminaries about the fractional integral and derivative operator. In section 3, we present the expression and properties of Green's function ... See full document

11

Multiple solutions for impulsive semilinear functional and neutral functional differential equations in Hilbert space

Multiple solutions for impulsive semilinear functional and neutral functional differential equations in Hilbert space

... the existence of mild solutions of some classes of initial value problem for first- and second-order impulsive semilinear functional and neutral functional differential ...for first- ... See full document

17

EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

EXISTENCE OF NONOSCILLATORY SOLUTIONS OF SECOND-ORDER NEUTRAL DIFFERENTIAL EQUATIONS

... Tuncay Candan received his M.Sc and Ph.D degree in Applied Mathematics from the Department of Mathematics at Iowa State University, USA. He is currently a Professor of Mathematics at American University of the Middle ... See full document

9

Boundary Value Problem of First Order Random Differential Inclusions

Boundary Value Problem of First Order Random Differential Inclusions

... lower solutions has been successfully applied to study the existence of multiple solutions for initial and boundary value problems of first and second order differential ... See full document

7

Multiple positive doubly periodic solutions for a singular semipositone telegraph equation with a parameter

Multiple positive doubly periodic solutions for a singular semipositone telegraph equation with a parameter

... the existence and multiplicity of positive periodic solutions for a scalar singular equation or singular systems have been studied by using some fixed point theorems; see ...upper solutions is ... See full document

8

Existence of solutions of infinite systems of integral equations in the Frechet spaces

Existence of solutions of infinite systems of integral equations in the Frechet spaces

... There have recently been many papers regarding the relationship between the above concepts, for example, Arab et al. [11], Olszowy [27], Mursaleen and Mohiuddineb [23], Mursaleen and Alotaibi [24], Bana´s and Lecko [15], ... See full document

12

Existence of periodic solutions and homoclinic orbits for
third order nonlinear differential equations

Existence of periodic solutions and homoclinic orbits for third order nonlinear differential equations

... 5. Application. In this section, we present a few examples of the applica- tions of Theorem 4.2 and other results of this paper. We are going to study the effect of some second-order terms on (2.4). For this ... See full document

20

MULTIPLE POSITIVE SOLUTIONS FOR A SYSTEM OF FRACTIONAL HIGHER-ORDER INFINITE-POINT BOUNDARY VALUE PROBLEMS

MULTIPLE POSITIVE SOLUTIONS FOR A SYSTEM OF FRACTIONAL HIGHER-ORDER INFINITE-POINT BOUNDARY VALUE PROBLEMS

... a fixed point theorem of cone expansion and compression of functional type due to Avery et ...functional fixed point theorem [3] for a ... See full document

13

Existence Theorems of Solutions for a System of Nonlinear Inclusions with an Application

Existence Theorems of Solutions for a System of Nonlinear Inclusions with an Application

... for all x ∈ G. From (1.1) and (4.7), we know that A,B : D × D → B(G) are (T, S)-mixed monotone and (S,T)-mixed monotone, respectively. By assumptions (1.3)–(4.5), it is easy to check that A, B and S, T satisfy all the ... See full document

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