extremal solutions
Extremal solutions for measure differential inclusions via Stieltjes derivatives
... Stieltjes derivatives represent a new unification of discrete and continuous calculus consisting in a differentiation process with respect to a given non-decreasing function g. This notion infers a new class of differential ...
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Existence of extremal solutions for quadratic fuzzy equations
... In Section 2, we point out some considerations about the previous results and justify the validity of the proof of Theorem 1.3 given in [1], presenting a more general existence result. Then, in Section 3, we study the ...
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Extremal solutions for singular fractional p Laplacian differential equations with nonlinear boundary conditions
... of extremal solutions for nonlinear boundary value problems of a singular fractional p-Laplacian differential equation involving Riemann-Liouville ...lower solutions and applying the comparison ...
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Extremal solutions for certain type of fractional differential equations with maxima
... Remark 3.1. Note that Condition (i) in Theorem 3.1 looks difficult to verify but it is useful for applying the Theorem 2.1. however, there are in the literature a lot of suffi- cient conditions which imply the existence ...
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Constrained extremal solutions of multi valued linear inclusions in Banach spaces
... Next, we recall the concept of the metric generalized inverse A # , which is a single-valued operator of a multi-valued linear operator A from X into Y . By means of the metric gener- alized inverse A # , we can express ...
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Successive iteration and positive extremal solutions for nonlinear impulsive \(q {k}\) difference equations
... In recent years, there has been put focus on developing the existence theory for initial and boundary value problems of q-difference equations and inclusions. The pioneer work on the topic dates back to the first quarter ...
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Extremal solutions for some periodic fractional differential equations
... by using the monotone iterative method. In this result, the bounded demand of f in [] and the monotone demand of f in [] were removed. However, the application of Lemma . in the proof of Theorem . was not correct, ...
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Periodic boundary value problems for second-order impulsive integro-differential equations with integral jump conditions
... The monotone iterative technique coupled with the method of upper and lower solu- tions has been used to study the existence of extremal solutions of periodic boundary value problems for second-order ...
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Generalized monotone iterative method for nonlinear boundary value problems with causal operators
... This paper discusses nonlinear boundary value problems for causal differential equations where the right-hand side is the sum of two monotone functions. We develop the monotone iterative technique and establish the ...
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Discontinuous Variational Hemivariational Inequalities Involving the Laplacian
... existence of a smallest solution can be shown in a similar way. In the next theorem we will prove that only the monotony of f in the third argument is su ffi cient for the existence of extremal solutions. The ...
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Monotone Iterative Technique for Caputo Fractional Differential Equations with Deviating Arguments
... Abstract. In this paper, we obtain the existence and uniqueness of solution for fractional differential equation involving the Caputo fractional derivative with deviating argument. The uniqueness of solution is obtained ...
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On the existence of solutions for a class of first order differential equations
... of solutions for systems of first-order differential ...for extremal solutions of a first- order ordinary differential equation in an ordered Banach ...
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Extremal mild solutions for impulsive fractional evolution equations with nonlocal initial conditions
... of solutions for the im- pulsive fractional evolution equations with nonlocal initial conditions by using the mono- tone iterative technique in the presence of lower and upper ...lower solutions is a ...
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Investigation of the existence and uniqueness of extremal and positive definite solutions of nonlinear matrix equations
... first equation (plus case), the proofs of the existence of positive definite solutions beside the extremal solutions are given. Also two algorithms are suggested for computing the extremal ...
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Basic theory of differential equations with linear perturbations of second type on time scales
... In this paper, we have developed the theory of DETS (1). By the fixed point theorem in Banach algebra due to Dhage, we have presented an existence theorem for DETS (1) under D -Lipschitz conditions. We have also ...
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Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations
... In this regard, in Section 2, we recall some basic definition, theorem and fixed point theorem in the Banach algebras. In section 3, we introduce the dis- tributed order fractional hybrid differential equation and their ...
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Non-extremal and non-BPS extremal five-dimensional black strings from generalized special real geometry
... investigate extremal solutions, where we observe that there exists a distinguished class of solutions which corresponds to null geodesic curves evolv- ing along the eigendistributions ...
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Monotone iterative method for a p-Laplacian boundary value problem with fractional conformable derivatives
... the extremal solutions and the unique solution are obtained for a nonlinear fractional p-Laplacian boundary value problem involving fractional conformable derivatives and nonlocal integral boundary ...
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Monotone iterative technique for causal differential equations with upper and lower solutions in the reversed order
... lower solutions in the reversed order to discuss the existence of extremal solutions (quasi-solutions) for causal differential equations with nonlinear boundary ...
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Nonlinear Boundary Value Problem of First Order Impulsive Functional Differential Equations
... This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lower ...
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