Some existence results of solitary waves for coupled Klein–Gordon and Born–Infeld equations
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DOI: 10.1080/17476933.2024.2441314
Abstract: In this paper, we investigate solitary wave solutions for the Klein–Gordon equation coupled with Born–Infeld theory and its mollified problems. We obtain the nontrivial solutions for mollified problems by Jeanjean's Mountain Pass Lemma and construct… read more here.
Keywords: equations existence; mollified problems; existence results; born infeld ... See more keywords
Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations
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DOI: 10.1186/s13662-018-1603-1
Abstract: This paper is devoted to establishing the existence theory for at least one solution to a coupled system of fractional order differential equations (FDEs). The problem under consideration is subjected to movable type integral boundary… read more here.
Keywords: numerical solutions; equations existence; differential equations; existence numerical ... See more keywords
Existence and Ulam stability for implicit fractional q-difference equations
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DOI: 10.1186/s13662-019-2411-y
Abstract: This paper deals with some existence, uniqueness and Ulam–Hyers–Rassias stability results for a class of implicit fractional q-difference equations. Some applications are made of some fixed point theorems in Banach spaces for the existence and… read more here.
Keywords: difference equations; difference; fractional difference; equations existence ... See more keywords
Existence of nonoscillatory solutions to nonlinear higher-order neutral dynamic equations
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DOI: 10.1186/s13662-020-02928-y
Abstract: We investigate the existence of different types of nonoscillatory solutions to a class of higher-order nonlinear neutral dynamic equations on a time scale. Two examples are provided to show the significance of the conclusions. read more here.
Keywords: higher order; equations existence; neutral dynamic; nonoscillatory solutions ... See more keywords
Existence of Classical Solutions for Broer-Kaup Equations
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DOI: 10.46793/kgjmat2501.125b
Abstract: In this paper we investigate the Cauchy problem for one dimensional Broer-Kaup equations for existence of global classical solutions. We give conditions under which the considered equations have at least one and at least two… read more here.
Keywords: equations existence; kaup equations; broer kaup; solutions broer ... See more keywords